On Intuitionistic Fuzzy Measures of Generalized Bounded Variation

2021 ◽  
pp. 415-421
Author(s):  
Purvak K. Patel ◽  
Rajendra G. Vyas
Keyword(s):  
Bounded Variation ◽  
Fuzzy Measures ◽  
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.

On non-monotonic fuzzy measures of Φ-bounded variation

1997 ◽  
Vol 86 (1) ◽  
pp. 101-106
Author(s):  
Lee-Chae Jang ◽  
Joong-Sung Kwon
Keyword(s):  
Bounded Variation ◽  
Fuzzy Measures

Intuitionistic fuzzy measures of enterprise Eco-efficiency and its influencing factors

2019 ◽  
Vol 37 (1) ◽  
pp. 185-192
Author(s):  
Zhang Jingjing ◽  
Wang Jiaxin ◽  
Liu Ta ◽  
Han Dongping
Keyword(s):  
Influencing Factors ◽  
Fuzzy Measures ◽  
Intuitionistic Fuzzy

Target Threat Assessment Based on Intuitionistic Fuzzy Sets Choquet Integral

2013 ◽  
Vol 433-435 ◽  
pp. 736-743 ◽  
Author(s):  
Jie Huang ◽  
Bi Cheng Li ◽  
Yong Jun Zhao
Keyword(s):  
Fuzzy Sets ◽  
Membership Function ◽  
Information Fusion ◽  
Choquet Integral ◽  
Threat Assessment ◽  
Intuitionistic Fuzzy Sets ◽  
Fuzzy Sets Theory ◽  
Fuzzy Measures ◽  
Intuitionistic Fuzzy ◽  
Sets Theory

For the problem that threat assessment often has some uncertainty and the correlation exist among threat factors, a technique based on intuitionistic fuzzy sets Choquet integral is proposed with intuitionistic fuzzy sets and fuzzy integral being introduced into information fusion area. First, threat estimators based on different factors are constructed with intuitionistic fuzzy sets theory. The uncertainty of each estimator is represented with membership function and non-membership function. Then, the significances of the estimators are modeled with fuzzy measures. Subsequently, threat assessment results are obtained using Choquet integral. Finally, the proposed method is validated through the air combat threat assessment of 20 typical targets.

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