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Peng Wang - One of the best experts on this subject based on the ideXlab platform.

  • Some interval-valued intuitionistic fuzzy Schweizer–Sklar power aggregation operators and their application to supplier selection
    International Journal of Systems Science, 2018
    Co-Authors: Peide Liu, Peng Wang
    Abstract:

    Supplier selection is an important multiple attribute group decision-making (MAGDM) problem. How to choose a suitable supplier is an evaluation process with different alternatives of multiple attributes, and it also relates to the expression of the evaluation value. Considering Schweizer–Sklar t-conorm and t-norm (SSTT) can make the information aggregation process more flexible than others, and the power average (PA) operator can eliminate effects of unreasonable data from biased decision-makers. So, we extend SSTT to interval-valued intuitionistic fuzzy numbers (IVIFNs) and define Schweizer–Sklar operational rules of IVIFNs. Then, we combine the PA operator with Schweizer–Sklar operations, and propose the interval-valued intuitionistic fuzzy Schweizer–Sklar power average operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted average (IVIFSSPWA) operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power geometric operator and the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted geometric (IVIFSSPWG) operator, respectively. Furthermore, we study some desirable characteristics of them and develop two methods on the basis of IVIFSSPWA and IVIFSSPWG operators. At the same time, we apply the two methods to deal with the MAGDM problems based on supplier selection. Finally, an illustrative example of supplier selection problem is given to testify the availability of the presented operators.

  • some interval valued intuitionistic fuzzy Schweizer sklar power aggregation operators and their application to supplier selection
    International Journal of Systems Science, 2018
    Co-Authors: Peide Liu, Peng Wang
    Abstract:

    Supplier selection is an important multiple attribute group decision-making (MAGDM) problem. How to choose a suitable supplier is an evaluation process with different alternatives of multiple attributes, and it also relates to the expression of the evaluation value. Considering Schweizer–Sklar t-conorm and t-norm (SSTT) can make the information aggregation process more flexible than others, and the power average (PA) operator can eliminate effects of unreasonable data from biased decision-makers. So, we extend SSTT to interval-valued intuitionistic fuzzy numbers (IVIFNs) and define Schweizer–Sklar operational rules of IVIFNs. Then, we combine the PA operator with Schweizer–Sklar operations, and propose the interval-valued intuitionistic fuzzy Schweizer–Sklar power average operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted average (IVIFSSPWA) operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power geometric operator and the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted geometric (IVIFSSPWG) operator, respectively. Furthermore, we study some desirable characteristics of them and develop two methods on the basis of IVIFSSPWA and IVIFSSPWG operators. At the same time, we apply the two methods to deal with the MAGDM problems based on supplier selection. Finally, an illustrative example of supplier selection problem is given to testify the availability of the presented operators.

Minxia Luo - One of the best experts on this subject based on the ideXlab platform.

  • Interval-valued fuzzy reasoning algorithms based on Schweizer–Sklar t-norms and its application
    Engineering Applications of Artificial Intelligence, 2020
    Co-Authors: Minxia Luo, Bei Liu, Ruirui Zhao, Jingjing Liang
    Abstract:

    Abstract Based on the normalized Minkowski distance in Hausdorff metrics, we study the sensitivity of interval-valued Schweizer-Sklar t-norms and their corresponding residual implications. Moreover, we investigate the robustness of interval-valued fuzzy reasoning triple I algorithms based on Schweizer–Sklar operators and illustrate the feasibility of the algorithms by a numerical example. Finally, the interval-valued fuzzy reasoning triple I algorithms are applied to medical diagnosis.

  • Robustness of Fuzzy Reasoning Based on Schweizer–Sklar Interval-valued t-Norms
    Fuzzy Information and Engineering, 2016
    Co-Authors: Minxia Luo, Ze Cheng
    Abstract:

    Abstract In this paper, we focus on the parametric triple I algorithms by the combination of Schweizer–Sklar interval-valued operators and triple I principles for fuzzy reasoning. Firstly, we give the interval-valued triple I solutions based on Schweizer–Sklar interval-valued operators. Then, we investigate the sensitivity of Schweizer–Sklar interval-valued fuzzy connectives. Finally, we study the robustness of the triple I algorithms based on Schweizer–Sklar interval-valued t-norms ( m ∈ ( 0 , ∞ ) ). It shows that the quality of interval-valued fuzzy reasoning algorithms depends on the selection of interval-valued fuzzy connectives.

  • ISKE - Reverse Triple I Algorithms Based on Schweizer-Sklar Interval-Valued t-Norms
    2015 10th International Conference on Intelligent Systems and Knowledge Engineering (ISKE), 2015
    Co-Authors: Minxia Luo, Xiaoling Zhou
    Abstract:

    In this paper, full implication reverse triple I algorithms based on Schweizer-Sklar interval-valued t-norms are proposed, and the corresponding interval-valued R_m-type reverse triple I solutions are given. Moreover, robustness of the new algorithms are discussed.

  • Triple I algorithms based on Schweizer--Sklar operators in fuzzy reasoning
    International Journal of Approximate Reasoning, 2013
    Co-Authors: Minxia Luo, Ning Yao
    Abstract:

    In this paper, we focus on the flexible inference method with parameters, that is the parametric triple I method by the combination of Schweizer-Sklar operators and triple I principles for fuzzy reasoning. Because the Schweizer-Sklar parameter m reflects the interaction between propositions in reasoning processes, the new parameterized triple I algorithms are closer to human reasoning in daily life. Also some properties of the new algorithms such as the reductivity, continuity and approximation are discussed. It is shown that some existing results are special cases of the new algorithms given here and in view of the variability of the parameter m the new algorithms have excellent flexibility in reasoning processes.

Peide Liu - One of the best experts on this subject based on the ideXlab platform.

  • Multiple-attribute decision making based on single-valued neutrosophic Schweizer-Sklar prioritized aggregation operator
    Cognitive Systems Research, 2019
    Co-Authors: Peide Liu, Qaisar Khan, Tahir Mahmood
    Abstract:

    Abstract Single-valued neutrosophic (SVN) sets can successfully describe the uncertainty problems, and Schweizer-Sklar (SS) t-norm (TN) and t-conorm (TCN) can build the information aggregation process more flexible by a parameter. To fully consider the advantages of SVNS and SS operations, in this article, we extend the SS TN and TCN to single-valued neutrosophic numbers (SVNN) and propose the SS operational laws for SVNNs. Then, we merge the prioritized aggregation (PRA) operator with SS operations, and develop the single-valued neutrosophic Schweizer-Sklar prioritized weighted averaging (SVNSSPRWA) operator, single-valued neutrosophic Schweizer-Sklar prioritized ordered weighted averaging (SVNSSPROWA) operator, single-valued neutrosophic Schweizer-Sklar prioritized weighted geometric (SVNSSPRWG) operator, and single-valued neutrosophic Schweizer-Sklar prioritized ordered weighted geometric (SVNSSPROWG) operator. Moreover, we study some useful characteristics of these proposed aggregation operators (AOs) and propose two decision making models to deal with multiple-attribute decision making (MADM) problems under SVN information based on the SVNSSPRWA and SVNSSPRWG operators. Lastly, an illustrative example about talent introduction is given to testify the effectiveness of the developed methods.

  • Some interval-valued intuitionistic fuzzy Schweizer–Sklar power aggregation operators and their application to supplier selection
    International Journal of Systems Science, 2018
    Co-Authors: Peide Liu, Peng Wang
    Abstract:

    Supplier selection is an important multiple attribute group decision-making (MAGDM) problem. How to choose a suitable supplier is an evaluation process with different alternatives of multiple attributes, and it also relates to the expression of the evaluation value. Considering Schweizer–Sklar t-conorm and t-norm (SSTT) can make the information aggregation process more flexible than others, and the power average (PA) operator can eliminate effects of unreasonable data from biased decision-makers. So, we extend SSTT to interval-valued intuitionistic fuzzy numbers (IVIFNs) and define Schweizer–Sklar operational rules of IVIFNs. Then, we combine the PA operator with Schweizer–Sklar operations, and propose the interval-valued intuitionistic fuzzy Schweizer–Sklar power average operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted average (IVIFSSPWA) operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power geometric operator and the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted geometric (IVIFSSPWG) operator, respectively. Furthermore, we study some desirable characteristics of them and develop two methods on the basis of IVIFSSPWA and IVIFSSPWG operators. At the same time, we apply the two methods to deal with the MAGDM problems based on supplier selection. Finally, an illustrative example of supplier selection problem is given to testify the availability of the presented operators.

  • some interval valued intuitionistic fuzzy Schweizer sklar power aggregation operators and their application to supplier selection
    International Journal of Systems Science, 2018
    Co-Authors: Peide Liu, Peng Wang
    Abstract:

    Supplier selection is an important multiple attribute group decision-making (MAGDM) problem. How to choose a suitable supplier is an evaluation process with different alternatives of multiple attributes, and it also relates to the expression of the evaluation value. Considering Schweizer–Sklar t-conorm and t-norm (SSTT) can make the information aggregation process more flexible than others, and the power average (PA) operator can eliminate effects of unreasonable data from biased decision-makers. So, we extend SSTT to interval-valued intuitionistic fuzzy numbers (IVIFNs) and define Schweizer–Sklar operational rules of IVIFNs. Then, we combine the PA operator with Schweizer–Sklar operations, and propose the interval-valued intuitionistic fuzzy Schweizer–Sklar power average operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted average (IVIFSSPWA) operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power geometric operator and the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted geometric (IVIFSSPWG) operator, respectively. Furthermore, we study some desirable characteristics of them and develop two methods on the basis of IVIFSSPWA and IVIFSSPWG operators. At the same time, we apply the two methods to deal with the MAGDM problems based on supplier selection. Finally, an illustrative example of supplier selection problem is given to testify the availability of the presented operators.

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

Raf De Bont - One of the best experts on this subject based on the ideXlab platform.