On the Direct Decomposability of Fuzzy Connectives, Negations and Implications Based on T-Norms and T-Conorms on Product Lattices

2006 ◽  
pp. 357-367
Author(s):  
Funda Karaçal
Keyword(s):  
Fuzzy Connectives

scholarly journals Graded dominance and related graded properties of fuzzy connectives

2015 ◽  
Vol 262 ◽  
pp. 78-101 ◽  
Author(s):  
Libor Běhounek ◽  
Ulrich Bodenhofer ◽  
Petr Cintula ◽  
Susanne Saminger-Platz ◽  
Peter Sarkoci
Keyword(s):  
Graded Properties ◽  
Fuzzy Connectives

scholarly journals Fuzzy Connectives for Efficient Image Reduction and Speeding Up Image Analysis

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 68403-68414 ◽  
Author(s):  
Gleb Beliakov ◽  
Gita Das ◽  
Huy Quan Vu ◽  
Tim Wilkin ◽  
Yong Xiang
Keyword(s):  
Image Analysis ◽  
Fuzzy Connectives

REVISITING Xor-IMPLICATIONS: CLASSES OF FUZZY (CO)IMPLICATIONS BASED ON f-Xor (f-XNor) CONNECTIVES

2013 ◽  
Vol 21 (06) ◽  
pp. 899-925 ◽  
Author(s):  
BENJAMÍN BEDREGAL ◽  
RENATA HAX SANDER REISER ◽  
GRAÇALIZ PEREIRA DIMURO
Keyword(s):  
Boundary Conditions ◽  
Unit Interval ◽  
End Points ◽  
Triangular Norms ◽  
Fuzzy Implications ◽  
Classical Definition ◽  
Definition Of ◽  
Exclusive Or ◽  
Intrinsic Definition ◽  
Fuzzy Connectives

The main contribution of this paper is the introduction of an intrinsic definition of the connective “fuzzy exclusive or” E (f-Xor E), based only on the properties of boundary conditions, commutativity and partial isotonicity-antitonicity on the the end-points of the unit interval U = [0,1], in a way that the classical definition of the boolean Xor is preserved. We show three classes of the f-Xor E that can be also obtained from the composition of fuzzy connectives, namely, triangular norms, triangular conorms and fuzzy negations. A discussion about extra properties satisfied by the f-Xor E is presented. Additionally, the paper introduces a class of fuzzy equivalences that generalizes the Fodor and Roubens's fuzzy equivalence, and four classes of fuzzy implications induced by the f-Xor E, discussing their main properties. The relationships between those classes of fuzzy implications and automorphisms are explored. The action of automorphisms on f-Xor E is analyzed.

Robustness of fuzzy connectives and fuzzy reasoning

2013 ◽  
Vol 225 ◽  
pp. 93-105 ◽  
Author(s):  
Yingfang Li ◽  
Keyun Qin ◽  
Xingxing He
Keyword(s):  
Fuzzy Reasoning ◽  
Fuzzy Connectives

scholarly journals Generators of Aggregation Functions and Fuzzy Connectives

2016 ◽  
Vol 24 (6) ◽  
pp. 1690-1694 ◽  
Author(s):  
Radomir Halas ◽  
Radko Mesiar ◽  
Jozef Pocs
Keyword(s):  
Aggregation Functions ◽  
Fuzzy Connectives
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