Intelligent Water Management: a Triangular Type-2 Intuitionistic Fuzzy Matrix Games Approach

2017 ◽  
Vol 32 (3) ◽  
pp. 949-968 ◽  
Author(s):  
Sankar Kumar Roy ◽  
Ankan Bhaumik
Keyword(s):  
Water Management ◽  
Matrix Games ◽  
Fuzzy Matrix ◽  
Intuitionistic Fuzzy ◽  
Triangular Type

Analysis of triangular intuitionistic fuzzy matrix games using robust ranking

2017 ◽  
Vol 33 (1) ◽  
pp. 327-336 ◽  
Author(s):  
Ankan Bhaumik ◽  
Sankar Kumar Roy ◽  
Deng-Feng Li
Keyword(s):  
Matrix Games ◽  
Fuzzy Matrix ◽  
Intuitionistic Fuzzy

On a Relationship Between Fuzzy Measures and AIFS

2016 ◽  
Vol 24 (06) ◽  
pp. 847-858 ◽  
Author(s):  
VicenÇ Torra ◽  
Yasuo Narukawa ◽  
Ronald R. Yager
Keyword(s):  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Fuzzy Measures ◽  
Intuitionistic Fuzzy ◽  
Atanassov Intuitionistic Fuzzy Sets ◽  
Interval Valued

The literature discusses several extensions of fuzzy sets. AIFS, IVFS, HFS, type-2 fuzzy sets are some of them. Interval valued fuzzy sets is one of the extensions where the membership is not a single value but an interval. Atanassov Intuitionistic fuzzy sets, for short AIFS, are defined in terms of two values for each element: membership and non-membership. In this paper we discuss AIFS and their relationship with fuzzy measures. The discussion permits us to define counter AIFS (cIFS) and discretionary AIFS (dIFS). They are extensions of fuzzy sets that are based on fuzzy measures.

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