On some equation related to the distributivity laws of fuzzy implications. Jensen equation extended to the infinity

2019 ◽  
Vol 359 ◽  
pp. 95-111
Author(s):  
Wanda Niemyska ◽  
Michał Baczyński
Keyword(s):  
Fuzzy Implications ◽  
Jensen Equation

Strategies on admissible total orders over typical hesitant fuzzy implications applied to decision making problems

2021 ◽  
Author(s):  
Mônica Matzenauer ◽  
Renata Reiser ◽  
Hélida Santos ◽  
Benjamín Bedregal ◽  
Humberto Bustince
Keyword(s):  
Decision Making ◽  
Fuzzy Implications ◽  
Total Orders

Contrapositive symmetry of fuzzy implications

1995 ◽  
Vol 69 (2) ◽  
pp. 141-156 ◽  
Author(s):  
János C. Fodor
Keyword(s):  
Fuzzy Implications

A method of constructing fuzzy implications from the FIφ-construction

2021 ◽  
pp. 1-14
Author(s):  
Yifan Zhao ◽  
Kai Li
Keyword(s):  
Specific Property ◽  
New Method ◽  
Aggregation Function ◽  
Fuzzy Implications ◽  
Construction Methods ◽  
Fuzzy Implication ◽  
New Construction

In the recent years, several new construction methods of fuzzy implications have been proposed. However, these construction methods actually care about that the new implication could preserve more properties. In this paper, we introduce a new method for constructing fuzzy implications based on an aggregation function with F (1,  0) =1, a fuzzy implication I and a non-decreasing function φ, called FIφ-construction. Specifically, some logical properties of fuzzy implications preserved by this construction are studied. Moreover, it is studied how to use the FIφ-construction to produce a new implication satisfying a specific property. Furthermore, we produce two new subclasses of fuzzy implications such as UIφ-implications and GpIφ-implications by this method and discuss some additional properties. Finally, we provide a way to generate fuzzy subsethood measures by means of FIφ-implications.

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