Multiattribute decision making based on the improved intuitionistic fuzzy Einstein weighted averaging operator of intuitionistic fuzzy values

2021 ◽  
Author(s):  
Kamal Kumar ◽  
Shyi-Ming Chen
Keyword(s):  
Decision Making ◽  
Weighted Averaging ◽  
Intuitionistic Fuzzy ◽  
Averaging Operator

Generalized Archimedean Intuitionistic Fuzzy Averaging Aggregation Operators and their Application to Multicriteria Decision-Making

2016 ◽  
Vol 15 (02) ◽  
pp. 311-352 ◽  
Author(s):  
Chunqiao Tan ◽  
Xiaohong Chen
Keyword(s):  
Decision Making ◽  
Multiple Criteria Decision Making ◽  
Multicriteria Decision Making ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Triangular Norm ◽  
Fuzzy Information ◽  
Intuitionistic Fuzzy ◽  
Averaging Operator ◽  
Fuzzy Aggregation

Aggregation operators play a key role in multiple criteria decision-making (MCDM). Extensions of aggregation operators to intuitionistic fuzzy sets (IFSs) usually involve replacing the standard arithmetic operations with those defined over the membership and nonmembership of IFS, which is essentially a pair of special Archimedean triangular norm (t-norm) and triangular conorm (t-conorm), called probabilistic sum t-conorm and product t-norm, on the membership and nonmembership of IFS, respectively. In this paper, we first introduce some operations on IFSs by means of Archimedean t-norm and t-conorm. Then some generalized Archimedean intuitionistic fuzzy aggregation operators are proposed, such as generalized Archimedean intuitionistic fuzzy weighted averaging operator, generalized Archimedean intuitionistic fuzzy ordered weighted averaging (GAIFOWA) operator, and generalized Archimedean intuitionistic fuzzy hybird averaging operator. Some desirable properties of these operators are investigated. The relations between these operators and the existing intuitionistic fuzzy aggregation operators are discussed. Finally, applying these proposed operators, we develop an approach for multi-criteria decision-making with intuitionistic fuzzy information, an illustrative example is used to verify the developed approach and to demonstrate its practicality and effectiveness.

scholarly journals Decision making by the values of generalized average fuzzy functions

2012 ◽  
Vol 53 ◽  
Author(s):  
Natalja Kosareva ◽  
Aleksandras Krylovas
Keyword(s):  
Decision Making ◽  
Monte Carlo ◽  
Fuzzy Numbers ◽  
Multiple Criteria Decision Making ◽  
Monte Carlo Study ◽  
Weighted Averaging ◽  
Average Operator ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Averaging Operator

Notions of point, interval and triangular intuitionistic fuzzy numbers are introduced. The generalized weighted averaging operator is used for solving multiple criteria decision making problems. Monte Carlo study was conducted with the aim to establish for which types of intuitionistic fuzzy numbers and which exponent values of weighted generalized average operator probabilities of alternatives ranking errors are the least.

Ranking Alternatives Based on Intuitionistic Preference Relation

2014 ◽  
Vol 13 (06) ◽  
pp. 1259-1281 ◽  
Author(s):  
Zeshui Xu
Keyword(s):  
Decision Making ◽  
Preference Relation ◽  
Weighted Averaging ◽  
Fuzzy Decision Making ◽  
Ranking Methods ◽  
Ordered Weighted Averaging ◽  
Intuitionistic Fuzzy ◽  
Averaging Operator ◽  
Ordered Weighted Averaging Operator ◽  
Geometric Operator

In fuzzy decision-making environments, intuitionistic preference relation is highly useful in depicting uncertainty and vagueness of preference information provided by the decision maker. In the process of decision making with intuitionistic preference relation, the most crucial issue is how to derive the ranking of alternatives from intuitionistic preference relation. In this article, we investigate the ranking methods of alternatives on the basis of intuitionistic preference relation from various angles, which are based on the intuitionistic fuzzy ordered weighted averaging operator, the intuitionistic fuzzy ordered weighted geometric operator, the uncertain averaging operator, the uncertain geometric operator, the uncertain ordered weighted averaging operator, and the uncertain ordered weighted geometric operator, respectively, and study their desirable properties. Moreover, we give a numerical analysis of the developed ranking methods by a practical example, and finally discuss further research directions.

scholarly journals Decision Making with Unknown Criteria Weight Information in the Frame Work of Interval Valued Trapezoidal Intuitionistic Fuzzy Sets

2019 ◽  
Vol 9 (1) ◽  
pp. 4424-4429
Keyword(s):  
Decision Making ◽  
Group Decision ◽  
Intuitionistic Fuzzy Sets ◽  
Weighted Averaging ◽  
Intuitionistic Fuzzy ◽  
Averaging Operator ◽  
Criteria Weights ◽  
Frame Work ◽  
Decision Making Model ◽  
Interval Valued

This paper proposes an interval valued trapezoidal intuitionistic fuzzy (IVTIF) decision making model for multi criteria group decision making (MCGDM) problem by taking into consideration that the criteria weights of each decision maker may differ with respect to each other when criteria weights are unknown prior. In this process, a new method to find the criteria weight based on alternatives performance and Einstein weighted averaging operator on IVTIFSs is defined. Further, the properties of interval valued trapezoidal intuitionistic fuzzy Einstein weighted averaging (IVITFEWA) operator are proved. The proposed method is illustrated by taking a numerical example. From the results it is observed that the proposed method can effectively rank the alternatives compared to existing methods.

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