Linguistic Variable

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Lazim Abdullah - One of the best experts on this subject based on the ideXlab platform.

  • a border approximation area approach considering bipolar neutrosophic Linguistic Variable for sustainable energy selection
    Sustainability, 2020
    Co-Authors: Nuraini Rahim, Lazim Abdullah, Binyamin Yusoff
    Abstract:

    In the last few decades, the computational methods under Multi-Criteria Decision-Making (MCDM) have experienced significant growth in research interests from various scientific communities. Multi-Attributive Border Approximation area Comparison (MABAC) is one of the MCDM methods where its computation procedures are based on distances and areas, and able to express a complex decision systematically. Previous literature have suggested the combination of MABAC with fuzzy sets, in which this combination is used to solve problems that are characterized by uncertain and incomplete information. Differently from the fuzzy MABAC, which directly used single membership, this paper proposes bipolar neutrosophic MABAC of which the positive and negative of truth, indeterminate and false memberships of bipolar neutrosophic set are introduced to enhance decision in sustainable energy selection. Fourteen criteria and seven alternatives of sustainable energy are the main MCDM structures that need to be solved using the proposed method. A group of experts were invited to provide rating of performance values of criteria and alternatives of sustainable energy problem using a bipolar neutrosophic Linguistic scale. The distances of alternatives from the Border Approximation Area of bipolar neutrosophic MABAC are the main output of the proposed method prior to making the final decision. The computational results show that ‘Biomass’ is the optimal alternative to sustainable energy selection. Comparable results are also presented to check the consistency of the proposed method.

  • A Hybrid Approach of Interval Neutrosophic Vague Sets and DEMATEL with New Linguistic Variable
    Symmetry, 2020
    Co-Authors: Ashraf Al-quran, Hazwani Hashim, Lazim Abdullah
    Abstract:

    Nowadays, real world problems are complicated because they deal with uncertainty and incomplete information. Obviously, such problems cannot be solved by a single technique because of the multiple perspectives that may arise. Currently, the combination of DEMATEL and the neutrosophic environment are still new and not fully explored. Previous studies of DEMATEL and this neutrosophic environment have been carried out based on numerical values to represent a new scale. Until now, little importance has been placed on the development of a Linguistic Variable for DEMATEL. It is important to develop a new Linguistic Variable to represent opinions based on human experience. Therefore, to fill this gap, the concept of Interval Neutrosophic Vague Sets (INVS) has been extended to the Linguistic Variable that can be used in the decision-making process. The INVS is useful tool to deal with uncertainty and incomplete information. Additionally, the advantages of the Linguistic Variable of INVS allows the greater range of value for membership functions. This study proposes a new framework for INVS and DEMATEL. In addition, a case study on the quality of hospital service has been evaluated to demonstrate the proposed approach. Finally, a comparative analysis to check the feasibility of the proposed method is presented. It demonstrates that different methods produce different relations and levels of importance. This is due to the inclusion of the INVS Linguistic Variable.

  • ranking of causes lead to road accidents using a new Linguistic Variable in interval type 2 fuzzy entropy weight of a decision making method
    PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): Germination of Mathematical Sciences Education and Research towards Glob, 2014
    Co-Authors: Nurnadiah Zamri, Lazim Abdullah
    Abstract:

    A Linguistic data is a Variable whose value is naturally language phase in dealing with too complex situation to be described properly in conventional quantitative expressions. However, all the past researchers on Linguistic Variables used positive fuzzy numbers in expressing meaning of symbolic word. It seems that positive and negative numbers were never put concurrently in defining Linguistic Variables. Accordingly, we intend to construct a new positive and negative Linguistic Variable in interval type-2 fuzzy entropy weight for interval type-2 fuzzy TOPSIS (IT2 FTOPSIS). This paper uses a new Linguistic Variable in interval type-2 fuzzy entropy weight to capture the problems on reducing number of road accidents due to all the previously mentioned methods had no discussion about ranking of factors associated with road accidents. Specifically the objective of this paper is to establish rankings of the selected factors associated with road accidents using a new positive and negative Linguistic Variable and interval type-2 fuzzy entropy weight in interval type-2 fuzzy TOPSIS. This new method is hoped can produce an optimal preference ranking of alternatives in accordance with a set of criterion wise ranking in selection of causes that lead to road accidents. The proposed method produces actionable results that laid the decision-making process. Besides, it does not require a complicated computation procedure and will be beneficial to decision analysis. Language: en

  • positive and negative interval type 2 generalized fuzzy number as a Linguistic Variable in interval type 2 fuzzy entropy weight for mcdm problem
    Annual International Conference on Computational Mathematics Computational Geometry & Statistics (CMCGS 2014), 2014
    Co-Authors: Nurnadiah Zamri, Lazim Abdullah
    Abstract:

    Generalized fuzzy number is an extended method of fuzzy number. Generalized fuzzy number has received significant attention from researchers in many areas. However, most of the generalized fuzzy number is defined only on one side which is in positive generalized fuzzy number. Therefore, the aim of this paper is to introduce a new generalized fuzzy number which considers positive and negative side in the concept of interval type-2 fuzzy set (IT2FS). Then, a new Linguistic Variable is established from the concept of new generalized fuzzy number. This new Linguistic Variable is applied into the interval type-2 entropy weight for multi-criteria decision-making (MCDM) method. Interval type-2 entropy weight is chosen as the weight in MCDM because the determination of this weight in the existing project delivery decision-making model relies on experts’ knowledge and experience excessively. An aggregation process in MCDM method is modified in line with the new Linguistic Variable. An illustrative example is used in order to check the efficiency of the new method. This approach offers a practical, effective, and simple way to produce a comprehensive judgment.

  • a new positive and negative Linguistic Variable of interval triangular type 2 fuzzy sets for mcdm
    SCDM, 2014
    Co-Authors: Nurnadiah Zamri, Lazim Abdullah
    Abstract:

    Fuzzy Linguistic Variable in decision making field has received significant attention from researchers in many areas. However, the existed research is given attention only in one side rather than two sides. Therefore, the aim of this paper is to introduce a new Linguistic Variable which considers both sides, positive and negative sides for symmetrical interval triangular type-2 fuzzy set (T2 FS). This new Linguistic Variable is developed in line with the interval type-2 fuzzy TOPSIS (IT2 FTOPSIS) method. Besides, a ranking value for aggregation process is modified to capture both positive and negative aspect for triangular. Then, this new method is tested using two illustrative examples. The results show that the new method is highly beneficial in terms of applicability and offers a new dimension to problem solving technique for the type-2 fuzzy group decision-making environment.

Nurnadiah Zamri - One of the best experts on this subject based on the ideXlab platform.

  • ranking of causes lead to road accidents using a new Linguistic Variable in interval type 2 fuzzy entropy weight of a decision making method
    PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): Germination of Mathematical Sciences Education and Research towards Glob, 2014
    Co-Authors: Nurnadiah Zamri, Lazim Abdullah
    Abstract:

    A Linguistic data is a Variable whose value is naturally language phase in dealing with too complex situation to be described properly in conventional quantitative expressions. However, all the past researchers on Linguistic Variables used positive fuzzy numbers in expressing meaning of symbolic word. It seems that positive and negative numbers were never put concurrently in defining Linguistic Variables. Accordingly, we intend to construct a new positive and negative Linguistic Variable in interval type-2 fuzzy entropy weight for interval type-2 fuzzy TOPSIS (IT2 FTOPSIS). This paper uses a new Linguistic Variable in interval type-2 fuzzy entropy weight to capture the problems on reducing number of road accidents due to all the previously mentioned methods had no discussion about ranking of factors associated with road accidents. Specifically the objective of this paper is to establish rankings of the selected factors associated with road accidents using a new positive and negative Linguistic Variable and interval type-2 fuzzy entropy weight in interval type-2 fuzzy TOPSIS. This new method is hoped can produce an optimal preference ranking of alternatives in accordance with a set of criterion wise ranking in selection of causes that lead to road accidents. The proposed method produces actionable results that laid the decision-making process. Besides, it does not require a complicated computation procedure and will be beneficial to decision analysis. Language: en

  • positive and negative interval type 2 generalized fuzzy number as a Linguistic Variable in interval type 2 fuzzy entropy weight for mcdm problem
    Annual International Conference on Computational Mathematics Computational Geometry & Statistics (CMCGS 2014), 2014
    Co-Authors: Nurnadiah Zamri, Lazim Abdullah
    Abstract:

    Generalized fuzzy number is an extended method of fuzzy number. Generalized fuzzy number has received significant attention from researchers in many areas. However, most of the generalized fuzzy number is defined only on one side which is in positive generalized fuzzy number. Therefore, the aim of this paper is to introduce a new generalized fuzzy number which considers positive and negative side in the concept of interval type-2 fuzzy set (IT2FS). Then, a new Linguistic Variable is established from the concept of new generalized fuzzy number. This new Linguistic Variable is applied into the interval type-2 entropy weight for multi-criteria decision-making (MCDM) method. Interval type-2 entropy weight is chosen as the weight in MCDM because the determination of this weight in the existing project delivery decision-making model relies on experts’ knowledge and experience excessively. An aggregation process in MCDM method is modified in line with the new Linguistic Variable. An illustrative example is used in order to check the efficiency of the new method. This approach offers a practical, effective, and simple way to produce a comprehensive judgment.

  • a new positive and negative Linguistic Variable of interval triangular type 2 fuzzy sets for mcdm
    SCDM, 2014
    Co-Authors: Nurnadiah Zamri, Lazim Abdullah
    Abstract:

    Fuzzy Linguistic Variable in decision making field has received significant attention from researchers in many areas. However, the existed research is given attention only in one side rather than two sides. Therefore, the aim of this paper is to introduce a new Linguistic Variable which considers both sides, positive and negative sides for symmetrical interval triangular type-2 fuzzy set (T2 FS). This new Linguistic Variable is developed in line with the interval type-2 fuzzy TOPSIS (IT2 FTOPSIS) method. Besides, a ranking value for aggregation process is modified to capture both positive and negative aspect for triangular. Then, this new method is tested using two illustrative examples. The results show that the new method is highly beneficial in terms of applicability and offers a new dimension to problem solving technique for the type-2 fuzzy group decision-making environment.

  • SCDM - A New Positive and Negative Linguistic Variable of Interval Triangular Type-2 Fuzzy Sets for MCDM
    Advances in Intelligent Systems and Computing, 2014
    Co-Authors: Nurnadiah Zamri, Lazim Abdullah
    Abstract:

    Fuzzy Linguistic Variable in decision making field has received significant attention from researchers in many areas. However, the existed research is given attention only in one side rather than two sides. Therefore, the aim of this paper is to introduce a new Linguistic Variable which considers both sides, positive and negative sides for symmetrical interval triangular type-2 fuzzy set (T2 FS). This new Linguistic Variable is developed in line with the interval type-2 fuzzy TOPSIS (IT2 FTOPSIS) method. Besides, a ranking value for aggregation process is modified to capture both positive and negative aspect for triangular. Then, this new method is tested using two illustrative examples. The results show that the new method is highly beneficial in terms of applicability and offers a new dimension to problem solving technique for the type-2 fuzzy group decision-making environment.

  • A New Linguistic Variable in Interval Type-2 Fuzzy Entropy Weight of a Decision Making Method
    Procedia Computer Science, 2013
    Co-Authors: Nurnadiah Zamri, Lazim Abdullah
    Abstract:

    Abstract Fuzzy Linguistic Variable has been used extensively in many applications of decision making. However, most of the fuzzy Linguistic is defined only on one side which is in positive fuzzy number. This paper aims to propose a new Linguistics Variable which considers both sides which are positive and negative fuzzy numbers. This new Linguistic Variable is developed in terms of interval type-2 fuzzy set for solving unknown interval type-2 entropy weight of interval type-2 fuzzy TOPSIS method. Moreover, a modified distance measure is performed in tandem with the new fuzzy Linguistic Variable. An example is used to illustrate the proposed method. The results show that the new method is almost consistent with the other method thereby would offers a new dimension to type-2 fuzzy group decision-making environment.

Jun Zhai - One of the best experts on this subject based on the ideXlab platform.

  • Fuzzy System Modeling and Representation Based on Linguistic Variable Ontology and SWRL
    2013
    Co-Authors: Yiduo Liang, Jun Zhai
    Abstract:

    Ontology is an important tool on the semantic web, for ontology has a powerful expressive ability on knowledge representation. However, it has no ability to represent the imprecise information as well as the uncertainty. In order to share and deal with the fuzzy knowledge between homogeneous systems on the semantic web, in this paper, the concept of Linguistic Variable ontology is proposed as the basis of Fuzzy System. Taking a flu fuzzy diagnosis case for example, fuzzy system is modeled. For fuzzy knowledge representation and further inference, the fuzzy rule base is constructed, which constitutes a part of fuzzy system. A tool of protege is used to realize the fuzzy system and a plugin of SWRLTab for the fuzzy rule. Also, SWRL/OWL is used to represent the rules formally for facilitating machine understanding and process. Comparisons are made between two fuzzy tools to illustrate the advantages of SWRLTab. The paper concludes that Linguistic Variable ontology-based diagnosis system can achieve the fuzzy knowledge sharing between homogeneous systems correctly.

  • knowledge representation for fuzzy systems based on Linguistic Variable ontology and rdf
    International Workshop on Computer Science for Environmental Engineering and EcoInformatics, 2011
    Co-Authors: Hongyang Bao, Jun Zhai, Mudan Bai
    Abstract:

    The Semantic Web is turning into a new generation web, where ontology is adopted as a standard for knowledge representation, and Resource Description Framework (RDF) is used to add structure and meaning to web applications. In order to incorporate fuzzy systems into the Semantic Web, this paper utilizes fuzzy ontology to represent formally the fuzzy Linguistic Variables, considering the semantic relationships between fuzzy concepts. Then fuzzy rule is described as a RDF resource with properties: IF and THEN, and rule’s antecedent and consequent is represented in RDF statement. Taking the fuzzy control system of industrial washing machine for example, the fuzzy system with ontology and RDF is built, which shows that this research enables distributed fuzzy applications on the Semantic Web.

  • Fuzzy Knowledge Representation Based on Fuzzy Linguistic Variable Ontology and SWRL on the Semantic Web
    Applied Mechanics and Materials, 2011
    Co-Authors: Yiduo Liang, Jun Zhai
    Abstract:

    Ontology is adopted as a standard for knowledge representation on the Semantic Web, and Ontology Web Language (OWL) is used to add structure and meaning to web applications. In order to share and resue the fuzzy knowledge on the Semantic Web, we propose the fuzzy Linguistic Variables ontology (FLVO), which utilizes ontology to represent formally the fuzzy Linguistic Variables and defines the semantic relationships between fuzzy concepts. Then fuzzy rules are described in Semantic Web Rule Language (SWRL) on the basis of FLVO model. Taking a sample case for students’ performance in physics for example, the fuzzy rule management system is built by using the tool protege and SWRLTab, which shows that this research enables distributed fuzzy applications on the Semantic Web.

  • Linguistic Variable ontology and its application to fuzzy semantic retrieval
    international conference on Information Computing and Applications, 2010
    Co-Authors: Jun Zhai, Kaitao Zhou
    Abstract:

    Ontology is the basis of sharing and reusing knowledge on the Semantic Web, and ontology-based semantic retrieval is a hotspot of current research. Fuzzy ontology is an extension of domain ontology for solving the uncertainty problems. To represent fuzzy knowledge more effectively, this paper presents fuzzy ontology models of Linguistic Variable, considering semantic relationships of fuzzy concepts, including set relation, order relation, equivalence relation and semantic association relation etc. To achieve fuzzy semantic retrieval, the semantic query expansion in SPARQL query language is constructed by semantic relations between fuzzy concepts defined in Linguistic Variable fuzzy ontology. The application shows that the extended query can return all results which satisfy research requirement at semantic level without upgrading current main search algorithm, and this research facilitates the semantic retrieval through fuzzy concepts on the Semantic Web.

  • ICICA (2) - Linguistic Variable Ontology and Its Application to Fuzzy Semantic Retrieval
    Communications in Computer and Information Science, 2010
    Co-Authors: Jun Zhai, Kaitao Zhou
    Abstract:

    Ontology is the basis of sharing and reusing knowledge on the Semantic Web, and ontology-based semantic retrieval is a hotspot of current research. Fuzzy ontology is an extension of domain ontology for solving the uncertainty problems. To represent fuzzy knowledge more effectively, this paper presents fuzzy ontology models of Linguistic Variable, considering semantic relationships of fuzzy concepts, including set relation, order relation, equivalence relation and semantic association relation etc. To achieve fuzzy semantic retrieval, the semantic query expansion in SPARQL query language is constructed by semantic relations between fuzzy concepts defined in Linguistic Variable fuzzy ontology. The application shows that the extended query can return all results which satisfy research requirement at semantic level without upgrading current main search algorithm, and this research facilitates the semantic retrieval through fuzzy concepts on the Semantic Web.

Qiang Shen - One of the best experts on this subject based on the ideXlab platform.

  • FUZZ-IEEE - Towards temporal Linguistic Variables
    10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297), 1
    Co-Authors: J. Halliwell, Qiang Shen
    Abstract:

    Although fuzzy logic has been successfully applied in many different problem domains, fuzzy solutions typically structure the problem task as one of static categorisation. This may not be appropriate for dynamic systems, especially where higher-order information is unavailable. The paper proposes an approach to reasoning about dynamic systems drawing upon the first-order approach to temporal logic. A brief overview of the classical theory is provided and extended to a fuzzy theory modelling the inherent vagueness of Linguistic terms such as "recently". The notion of a temporal qualification is developed as a domain independent method for augmenting base domains and term set of a Linguistic Variable. Such extended Variables are termed temporal Linguistic Variables. The technique is then applied to a simple dynamic system highlighting its advantage over traditional approaches. Since temporal Linguistic Variables are a special case of Linguistic Variable they are immediately applicable in fuzzy knowledge based system and machine learning contexts.

Shenghan Zhou - One of the best experts on this subject based on the ideXlab platform.

  • Extended Linguistic Variable and Its Effective Set
    Journal of Computers, 2013
    Co-Authors: Shenghan Zhou, Wenbing Chang
    Abstract:

    The paper aims to expand the concept of Linguistic Variable. The study analyzes the common conclusion forms in the evaluation project. The evaluation often makes the final conclusion by analyzing the fuzzy number and its membership function. However, the information of modified word or phrase (“largely”, “preliminary” and “unclear”) has got lost in analysis. The research believe these modified words imply the inherent re-judgments on the mainly conclusions. And the study develops the extended Linguistic Variable by integrating the modified and traditional Linguistic Variable. Then the study defines the effective set of extended Linguistic Variable. The effective set suggest the valuable scale of the extended Linguistic Variable.

  • Extended Linguistic Variable Based on the Modified Words
    Applied Mechanics and Materials, 2011
    Co-Authors: Shenghan Zhou, Wenbing Chang
    Abstract:

    This paper aims to expand the concept of Linguistic Variable. The study analyzes the common conclusion forms in the evaluation project. The evaluation often makes the final conclusion by analyzing the fuzzy number and its membership function. However, the information of modified word or phrase (“largely”, “preliminary” and “unclear”) has got lost in analysis. The study develops the extended Linguistic Variable by integrating the modified and traditional Linguistic Variable. It is useful to understand the means of ambiguity exactly in the manufacturing processing.

  • Risk Assessment Model with 2-Tuple Temporal Linguistic Variable
    Applied Mechanics and Materials, 2011
    Co-Authors: Shenghan Zhou, Wenbing Chang, Ze Jian Xiong
    Abstract:

    The paper aims to develop a risk assessment model with the fuzzy temporal information. The traditional model assess risk with the risk matrix method. And the method rank the risks without regard to the with the temporal information to assess the risk. The model integrates the method of 2-tuple Linguistic and temporal Linguistic Variable. The improved concept defines the transition symbols operator as the projection of temporal term on the fuzzy Linguistic Variable. The new model may deal with the temporal information in the fuzzy Linguistic judgements. The emprical research give a example by applying the new method. The result of example show that the new model can provide the worthwhile temporal information in the assessment result. temporal element temporal element temporal element temporal element

  • the consistency and ranking method based on comparison Linguistic Variable
    Conference on E-business Technology and Strategy, 2010
    Co-Authors: Qisheng Zhao, Fajie Wei, Shenghan Zhou
    Abstract:

    The study developed a consistency approximation and ranking method based on the comparison Linguistic Variable. The method constructs the consistency fuzzy complementary judgment matrix by using the judgment matrix of Linguistic Variable. The judgment matrix is defined by the fuzzy set or vague set of comparison Linguistic Variable. The method obtains the VPIS and VNIS based on TOPSIS method. And the relative similar approach degrees with the distance between alternatives and VPIS or VNIS are defined. Then the study analyzes the impact on quality of evaluation which caused by evaluation method, index weight and appraiser. Finally, the improving methods were discussed, and an example is presented to illustrate the proposed method.

  • CETS - The Consistency and Ranking Method Based on Comparison Linguistic Variable
    Communications in Computer and Information Science, 2010
    Co-Authors: Qisheng Zhao, Fajie Wei, Shenghan Zhou
    Abstract:

    The study developed a consistency approximation and ranking method based on the comparison Linguistic Variable. The method constructs the consistency fuzzy complementary judgment matrix by using the judgment matrix of Linguistic Variable. The judgment matrix is defined by the fuzzy set or vague set of comparison Linguistic Variable. The method obtains the VPIS and VNIS based on TOPSIS method. And the relative similar approach degrees with the distance between alternatives and VPIS or VNIS are defined. Then the study analyzes the impact on quality of evaluation which caused by evaluation method, index weight and appraiser. Finally, the improving methods were discussed, and an example is presented to illustrate the proposed method.