Journal ArticleDOI
Intuitionistic Fuzzy Aggregation Operators
TLDR
Based on score function and accuracy function, a method is introduced for the comparison between two intuitionistic fuzzy values and some aggregation operators are developed, such as the intuitionism fuzzy weighted averaging operator, intuitionists fuzzy ordered weighted averaging operators, and intuitionistic fuzziness hybrid aggregation operator, for aggregating intuitionist fuzzy values.Abstract:
An intuitionistic fuzzy set, characterized by a membership function and a non-membership function, is a generalization of fuzzy set. In this paper, based on score function and accuracy function, we introduce a method for the comparison between two intuitionistic fuzzy values and then develop some aggregation operators, such as the intuitionistic fuzzy weighted averaging operator, intuitionistic fuzzy ordered weighted averaging operator, and intuitionistic fuzzy hybrid aggregation operator, for aggregating intuitionistic fuzzy values and establish various properties of these operators.read more
Citations
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Journal ArticleDOI
Hesitant fuzzy information aggregation in decision making
Meimei Xia,Zeshui Xu +1 more
TL;DR: The relationship between intutionistic fuzzy set and hesitant fuzzy set is discussed, based on which some operations and aggregation operators for hesitant fuzzy elements are developed and their application in solving decision making problems is given.
Journal ArticleDOI
A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method
TL;DR: In this study, TOPSIS method combined with intuitionistic fuzzy set is proposed to select appropriate supplier in group decision making environment and Intuitionistic fuzzy weighted averaging (IFWA) operator is utilized to aggregate individual opinions of decision makers for rating the importance of criteria and alternatives.
Journal ArticleDOI
Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets
Xiaolu Zhang,Zeshui Xu +1 more
TL;DR: Some novel operational laws of PFSs are defined and an extended technique for order preference by similarity to ideal solution method is proposed to deal effectively with them for the multicriteria decision‐making problems with PFS.
Journal ArticleDOI
Some Results for Pythagorean Fuzzy Sets
Xindong Peng,Yong Yang +1 more
TL;DR: A Pythagorean fuzzy superiority and inferiority ranking method to solve uncertainty multiple attribute group decision making problem and its properties such as boundedness, idempotency, and monotonicity are investigated.
Journal ArticleDOI
A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets
TL;DR: A multicriteria decision-making method is established in which the evaluation values of alternatives with respective to criteria are represented by the form of SNSs, and the ranking order of alternatives is performed through the cosine similarity measure between an alternative and the idealAlternative and the best ones can be determined.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Book
Multiple Attribute Decision Making: Methods and Applications
TL;DR: In this paper, the authors present a classification of MADM methods by data type and propose a ranking method based on the degree of similarity of the MADM method to the original MADM algorithm.
Journal ArticleDOI
Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
TL;DR: By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Book
Fuzzy Sets and Fuzzy Logic: Theory and Applications
George J. Klir,Bo Yuan +1 more
TL;DR: Fuzzy Sets and Fuzzy Logic is a true magnum opus; it addresses practically every significant topic in the broad expanse of the union of fuzzy set theory and fuzzy logic.