Journal ArticleDOI
Maximizing deviation method for multiple attribute decision making in intuitionistic fuzzy setting
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TLDR
An optimization model based on the maximizing deviation method, by which the attribute weights can be determined, is established and another optimization model is established for the special situations where the information about attribute weights is completely unknown.Abstract:
With respect to multiple attribute decision making problems with intuitionistic fuzzy information, some operational laws of intuitionistic fuzzy numbers, score function and accuracy function of intuitionistic fuzzy numbers are introduced. An optimization model based on the maximizing deviation method, by which the attribute weights can be determined, is established. For the special situations where the information about attribute weights is completely unknown, we establish another optimization model. By solving this model, we get a simple and exact formula, which can be used to determine the attribute weights. We utilize the intuitionistic fuzzy weighted averaging (IFWA) operator to aggregate the intuitionistic fuzzy information corresponding to each alternative, and then rank the alternatives and select the most desirable one(s) according to the score function and accuracy function. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.read more
Citations
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Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making
TL;DR: The developed models and procedures based on I-IIFOWG and IIFWG (interval-valued intuitionistic fuzzy weighted geometric) operators are extended to solve the MAGDM problems in which both the attribute weights and the expert weights take the form of real numbers, attribute values take theform of interval-valued intuistic fuzzy numbers.
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Hesitant fuzzy prioritized operators and their application to multiple attribute decision making
TL;DR: This paper develops some prioritized aggregation operators for aggregating hesitant fuzzy information, and applies them to develop some models for hesitant fuzzy multiple attribute decision making (MADM) problems in which the attributes are in different priority level.
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Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators
TL;DR: This paper develops a series of operators for aggregating IFNs, establishes various properties of these power aggregation operators, and applies them to develop some approaches to multiple attribute group decision making with Atanassov's intuitionistic fuzzy information.
Journal ArticleDOI
GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting
TL;DR: An optimization model based on the basic ideal of traditional grey relational analysis (GRA) method is established, by which the attribute weights can be determined, and an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
Journal ArticleDOI
Some q‐rung orthopair fuzzy Heronian mean operators in multiple attribute decision making
Guiwu Wei,Hui Gao,Yu Wei +2 more
TL;DR: An approach to multiple attribute decision making based on q‐ROFGWHM (q‐ROFWGHM) operator is proposed and a practical example for enterprise resource planning system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.
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.
Journal ArticleDOI
Intuitionistic Fuzzy Aggregation Operators
TL;DR: 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.
Journal ArticleDOI
Some geometric aggregation operators based on intuitionistic fuzzy sets
Zeshui Xu,Ronald R. Yager +1 more
TL;DR: This paper develops some new geometric aggregation operators, such as the intuitionistic fuzzy weighted geometric (IFWG) operator, the intuitionists fuzzy ordered weighted geometric(IFOWG)operator, and the intuitionism fuzzy hybrid geometric (ifHG) operators, which extend the WG and OWG operators to accommodate the environment in which the given arguments are intuitionistic fuzz sets.
Journal Article
Vague sets
W.-L. Gau,D.J. Buehrer +1 more
TL;DR: A vague set is a set of objects, each of which has a grade of membership whose value is a continuous subinterval of according to the inequality of the following type: