The Experts below are selected from a list of 11043 Experts worldwide ranked by ideXlab platform
Mao Lu - One of the best experts on this subject based on the ideXlab platform.
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models for multiple attribute decision making with some 2 tuple linguistic pythagorean fuzzy hamy mean operators
Mathematics, 2018Co-Authors: Xiumei Deng, Jie Wang, Mao LuAbstract:The Hamy mean (HM) operator, as a useful aggregation tool, can capture the correlation between multiple integration parameters, and the 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs) are a special kind of Pythagorean fuzzy numbers (PFNs), which can easily describe the fuzziness in actual decision making by 2-tuple linguistic terms (2TLTs). In this paper, to consider both Hamy mean (HM) operator and 2TLPFNs, we combine the HM operator, weighted HM (WHM) operator, dual HM (DHM) operator, and dual WHM (DWHM) operator with 2TLPFNs to propose the 2-tuple linguistic Pythagorean fuzzy HM (2TLPFHM) operator, 2-tuple linguistic Pythagorean fuzzy WHM (2TLPFWHM) operator, 2-tuple linguistic Pythagorean fuzzy DHM (2TLPFDHM) operator and 2-tuple linguistic Pythagorean fuzzy DWHM (2TLPFDWHM) operator. Then some multiple attribute decision making (MADM) procedures are developed based on these operators. At last, an applicable example for green supplier selection is given.
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pythagorean fuzzy power aggregation operators in multiple attribute decision making
International Journal of Intelligent Systems, 2018Co-Authors: Mao LuAbstract:In this paper, we utilize power aggregation operators to develop some Pythagorean fuzzy power aggregation operators: Pythagorean fuzzy power average operator, Pythagorean fuzzy power geometric operator, Pythagorean fuzzy power weighted average operator, Pythagorean fuzzy power weighted geometric operator, Pythagorean fuzzy power ordered weighted average operator, Pythagorean fuzzy power ordered weighted geometric operator, Pythagorean fuzzy power hybrid average operator, and Pythagorean fuzzy power hybrid geometric operator. The prominent characteristic of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the Pythagorean fuzzy multiple attribute decision-making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
Harish Garg - One of the best experts on this subject based on the ideXlab platform.
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generalized pythagorean fuzzy geometric aggregation operators using einstein t norm and t conorm for multicriteria decision making process
International Journal of Intelligent Systems, 2017Co-Authors: Harish GargAbstract:The objective of this paper is to present some series of geometric-aggregated operators under Pythagorean fuzzy environment by relaxing the condition that the sum of the degree of membership functions is less than one with the square sum of the degree of membership functions is less than one. Under these environments, aggregator operators, namely, Pythagorean fuzzy Einstein weighted geometric, Pythagorean fuzzy Einstein ordered weighted geometric, generalized Pythagorean fuzzy Einstein weighted geometric, and generalized Pythagorean fuzzy Einstein ordered weighted geometric operators, are proposed in this paper. Some of its properties have also been investigated in details. Finally, an illustrative example for multicriteria decision-making problems of alternatives is taken to demonstrate the effectiveness of the approach.
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a new generalized pythagorean fuzzy information aggregation using einstein operations and its application to decision making
Journal of intelligent systems, 2016Co-Authors: Harish GargAbstract:The objective of this article is to extend and present an idea related to weighted aggregated operators from fuzzy to Pythagorean fuzzy sets PFSs. The main feature of the PFS is to relax the condition that the sum of the degree of membership functions is less than one with the square sum of the degree of membership functions is less than one. Under these environments, aggregator operators, namely, Pythagorean fuzzy Einstein weighted averaging PFEWA, Pythagorean fuzzy Einstein ordered weighted averaging PFEOWA, generalized Pythagorean fuzzy Einstein weighted averaging GPFEWA, and generalized Pythagorean fuzzy Einstein ordered weighted averaging GPFEOWA, are proposed in this article. Some desirable properties corresponding to it have also been investigated. Furthermore, these operators are applied to decision-making problems in which experts provide their preferences in the Pythagorean fuzzy environment to show the validity, practicality, and effectiveness of the new approach. Finally, a systematic comparison between the existing work and the proposed work has been given.
Saleem Abdullah - One of the best experts on this subject based on the ideXlab platform.
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Ranking methodology of induced Pythagorean trapezoidal fuzzy aggregation operators based on Einstein operations in group decision making
Soft Computing, 2019Co-Authors: Muhammad Shakeel, Saleem Abdullah, Muhammad Aslam, Muhammad JamilAbstract:The Pythagorean fuzzy number is a new tool for uncertainty and vagueness. It is a generalization of fuzzy numbers and intuitionistic fuzzy numbers. In this paper, we define some Einstein operations on Pythagorean trapezoidal fuzzy set and develop two averaging aggregation operators, which is an induced Pythagorean trapezoidal fuzzy Einstein ordered weighted averaging operator and an induced Pythagorean trapezoidal fuzzy Einstein hybrid averaging (I-PTFEHA) operator. We presented some new methods to deal with the multi-attribute group decision-making problems under the Pythagorean trapezoidal fuzzy environment. Finally, we used some practical examples to illustrate the validity and feasibility of the proposed methods by comparing with existing method. It shows that the proposed I-PTFEHA operator is much better and reliable than the existing one.
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Some induced interval-valued Pythagorean trapezoidal fuzzy averaging aggregation operators based on Einstein operations and their application in group decision-making
Computational and Applied Mathematics, 2019Co-Authors: Muhammad Shakeel, Saleem AbdullahAbstract:The aim of this paper is to investigate the information aggregation methods under interval-valued Pythagorean trapezoidal fuzzy environment. Some Einstein operational laws on Pythagorean trapezoidal fuzzy numbers are defined based on Einstein sum and Einstein product. We define interval-valued Pythagorean trapezoidal fuzzy aggregation operators, induced interval-valued Pythagorean trapezoidal fuzzy Einstein ordered weighted averaging (I-IVTFEOWA) operator and induced interval-valued Pythagorean trapezoidal fuzzy Einstein hybrid averaging (I-IVPTFEHA) operator. We discuss some basic properties of the proposed operator, including idempotency, commutativity and monotonicity. We construct an algorithm for multiple-attribute group decision-making problem, and apply the proposed aggregation operator to deal with multiple-attribute group decision-making. Finally, we construct a numerical example for multiple-attribute group decision-making.
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Pythagorean uncertain linguistic hesitant fuzzy weighted averaging operator and its application in financial group decision making
Soft Computing, 2019Co-Authors: Muhammad Shakeel, M. Shahzad, Saleem AbdullahAbstract:With respect to multiple attribute decision-making problems, in which attribute values take in the form of Pythagorean uncertain linguistic hesitant fuzzy information, a new decision-making method based on the Pythagorean uncertain linguistic hesitant fuzzy weighted averaging (PULHFWA) operator is developed. In this paper, we proposed some operational laws based on Pythagorean uncertain linguistic hesitant fuzzy numbers (PULHFNs) and verified some properties. We also developed some aggregation operators to use the decision information represented by PULHFNs, including the PULHFWA operator, Pythagorean uncertain linguistic hesitant fuzzy ordered weighted averaging operator and Pythagorean uncertain linguistic hesitant fuzzy hybrid averaging operator. We develop a decision-making method based on the proposed operators under the Pythagorean uncertain linguistic hesitant fuzzy environment and illustrated with a numerical example and study the applicability of the new approach on a financial decision-making problem concerning the selection of financial strategies. Finally, a comparison analysis between the proposed and the existing approaches has been performed to illustrate the applicability and feasibility of the developed decision-making method.
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pythagorean fuzzy prioritized aggregation operators and their application to multi attribute group decision making
Granular Computing, 2019Co-Authors: Muhammad Sajjad Ali Khan, Saleem Abdullah, Fazli AminAbstract:Pythagorean fuzzy set is a useful tool to deal with the fuzziness and vagueness. Many aggregation operators have been proposed by many researchers based on Pythagorean fuzzy sets. But the current methods are under the assumption that the decision makers and the attributes are at the same priority level. However, in real group decision-making problems the attribute and decision makers may have different priority level. Therefore, in this paper, we develop multi-attribute group decision-making based on Pythagorean fuzzy sets where there exists a prioritization relationship over the attributes and decision makers. First, we develop Pythagorean fuzzy prioritized weighted average operator and Pythagorean fuzzy prioritized weighted geometric operator. Then we study some of its desirable properties such as idempotency, boundary and monotonicity in detail. Moreover, we propose a multi-attribute group decision-making approach based on the developed operators under Pythagorean fuzzy environment. Finally, a numerical example is provided to illustrate the practicality of the proposed approach.
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interval valued pythagorean fuzzy geometric aggregation operators and their application to group decision making problem
Cogent Mathematics, 2017Co-Authors: Khaista Rahman, Sajjad Ali M Khan, Saleem Abdullah, Muhammad Shakeel, Murad UllahAbstract:There are many aggregation operators have been defined up to date, but in this work, we define the interval valued Pythagorean fuzzy weighted geometric (IPFWG) operator, the interval-valued Pythagorean fuzzy ordered weighted geometric (IPFOWG) operator, and the interval-valued Pythagorean fuzzy hybrid geometric operator. We also discuss some properties and give some examples also to develop these operators. At the last we apply the interval-valued IPFWG operator and the interval-valued IPFOWG operator to multiple attribute decision-making problem under the interval-valued Pythagorean fuzzy information.
Muhammad Shakeel - One of the best experts on this subject based on the ideXlab platform.
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Ranking methodology of induced Pythagorean trapezoidal fuzzy aggregation operators based on Einstein operations in group decision making
Soft Computing, 2019Co-Authors: Muhammad Shakeel, Saleem Abdullah, Muhammad Aslam, Muhammad JamilAbstract:The Pythagorean fuzzy number is a new tool for uncertainty and vagueness. It is a generalization of fuzzy numbers and intuitionistic fuzzy numbers. In this paper, we define some Einstein operations on Pythagorean trapezoidal fuzzy set and develop two averaging aggregation operators, which is an induced Pythagorean trapezoidal fuzzy Einstein ordered weighted averaging operator and an induced Pythagorean trapezoidal fuzzy Einstein hybrid averaging (I-PTFEHA) operator. We presented some new methods to deal with the multi-attribute group decision-making problems under the Pythagorean trapezoidal fuzzy environment. Finally, we used some practical examples to illustrate the validity and feasibility of the proposed methods by comparing with existing method. It shows that the proposed I-PTFEHA operator is much better and reliable than the existing one.
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Some induced interval-valued Pythagorean trapezoidal fuzzy averaging aggregation operators based on Einstein operations and their application in group decision-making
Computational and Applied Mathematics, 2019Co-Authors: Muhammad Shakeel, Saleem AbdullahAbstract:The aim of this paper is to investigate the information aggregation methods under interval-valued Pythagorean trapezoidal fuzzy environment. Some Einstein operational laws on Pythagorean trapezoidal fuzzy numbers are defined based on Einstein sum and Einstein product. We define interval-valued Pythagorean trapezoidal fuzzy aggregation operators, induced interval-valued Pythagorean trapezoidal fuzzy Einstein ordered weighted averaging (I-IVTFEOWA) operator and induced interval-valued Pythagorean trapezoidal fuzzy Einstein hybrid averaging (I-IVPTFEHA) operator. We discuss some basic properties of the proposed operator, including idempotency, commutativity and monotonicity. We construct an algorithm for multiple-attribute group decision-making problem, and apply the proposed aggregation operator to deal with multiple-attribute group decision-making. Finally, we construct a numerical example for multiple-attribute group decision-making.
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Pythagorean uncertain linguistic hesitant fuzzy weighted averaging operator and its application in financial group decision making
Soft Computing, 2019Co-Authors: Muhammad Shakeel, M. Shahzad, Saleem AbdullahAbstract:With respect to multiple attribute decision-making problems, in which attribute values take in the form of Pythagorean uncertain linguistic hesitant fuzzy information, a new decision-making method based on the Pythagorean uncertain linguistic hesitant fuzzy weighted averaging (PULHFWA) operator is developed. In this paper, we proposed some operational laws based on Pythagorean uncertain linguistic hesitant fuzzy numbers (PULHFNs) and verified some properties. We also developed some aggregation operators to use the decision information represented by PULHFNs, including the PULHFWA operator, Pythagorean uncertain linguistic hesitant fuzzy ordered weighted averaging operator and Pythagorean uncertain linguistic hesitant fuzzy hybrid averaging operator. We develop a decision-making method based on the proposed operators under the Pythagorean uncertain linguistic hesitant fuzzy environment and illustrated with a numerical example and study the applicability of the new approach on a financial decision-making problem concerning the selection of financial strategies. Finally, a comparison analysis between the proposed and the existing approaches has been performed to illustrate the applicability and feasibility of the developed decision-making method.
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interval valued pythagorean fuzzy geometric aggregation operators and their application to group decision making problem
Cogent Mathematics, 2017Co-Authors: Khaista Rahman, Sajjad Ali M Khan, Saleem Abdullah, Muhammad Shakeel, Murad UllahAbstract:There are many aggregation operators have been defined up to date, but in this work, we define the interval valued Pythagorean fuzzy weighted geometric (IPFWG) operator, the interval-valued Pythagorean fuzzy ordered weighted geometric (IPFOWG) operator, and the interval-valued Pythagorean fuzzy hybrid geometric operator. We also discuss some properties and give some examples also to develop these operators. At the last we apply the interval-valued IPFWG operator and the interval-valued IPFOWG operator to multiple attribute decision-making problem under the interval-valued Pythagorean fuzzy information.
Khaista Rahman - One of the best experts on this subject based on the ideXlab platform.
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New approach to multiple attribute group decision-making based on Pythagorean fuzzy Einstein hybrid geometric operator
Granular Computing, 2019Co-Authors: Khaista RahmanAbstract:The objective of the present work is divided into two folds. Firstly, Pythagorean fuzzy Einstein hybrid geometric operator has been introduced along with their properties, namely idempotency, boundedness and monotonicity. Actually, Pythagorean fuzzy Einstein weighted geometric aggregation operator weighs only the Pythagorean fuzzy arguments, and Pythagorean fuzzy Einstein ordered weighted geometric aggregation operator weighs only the ordered positions of the Pythagorean fuzzy arguments instead of weighing the Pythagorean fuzzy arguments themselves. To overcome these limitations, we introduce the concept of Pythagorean fuzzy Einstein hybrid geometric aggregation operator, which weighs both the given Pythagorean fuzzy value and its ordered position. Thus, the main advantage of the proposed operator is that it is the generalization of their existing operators. Therefore, this method plays a vital role in real-world problems. Finally, we applied the proposed operator to multiple-attribute group decision-making.
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interval valued pythagorean fuzzy geometric aggregation operators and their application to group decision making problem
Cogent Mathematics, 2017Co-Authors: Khaista Rahman, Sajjad Ali M Khan, Saleem Abdullah, Muhammad Shakeel, Murad UllahAbstract:There are many aggregation operators have been defined up to date, but in this work, we define the interval valued Pythagorean fuzzy weighted geometric (IPFWG) operator, the interval-valued Pythagorean fuzzy ordered weighted geometric (IPFOWG) operator, and the interval-valued Pythagorean fuzzy hybrid geometric operator. We also discuss some properties and give some examples also to develop these operators. At the last we apply the interval-valued IPFWG operator and the interval-valued IPFOWG operator to multiple attribute decision-making problem under the interval-valued Pythagorean fuzzy information.
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New Approaches to Pythagorean Fuzzy Averaging Aggregation Operators
Mathematics Letters, 2017Co-Authors: Khaista Rahman, Muhammad Sajjad Ali Khan, Murad UllahAbstract:In this paper, we present two Pythagorean fuzzy averaging aggregation operators such as, Pythagorean fuzzy weighted averaging (PFWA) operator, Pythagorean fuzzy ordered weighted averaging (PFOWA) operator and also introduce some of their basic properties.
