Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms

2015 ◽  
pp. 97-110 ◽  
Author(s):  
Nora Angelova ◽  
Krassimir Atanassov
Keyword(s):  
Fuzzy Implications ◽  
Intuitionistic Fuzzy

scholarly journals Modifications of Łukasiewicz’s intuitionistic fuzzy implication

2021 ◽  
Vol 27 (3) ◽  
pp. 32-39
Author(s):  
Alžbeta Michalíková ◽  
◽  
Eulalia Szmidt ◽  
Peter Vassilev ◽  
◽  
...  
Keyword(s):  
Basic Properties ◽  
Fuzzy Implications ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Implication

In [6], G. Klir and B. Yuan named after J. Łukasiewicz the implication p \rightarrow q = min(1, p+q). In a series of papers, 198 different intuitionistic fuzzy implications have been introduced, and their basic properties have been studied. Here we introduce six new implications which are modifications of Łukasiewicz’s intuitionistic fuzzy implication, and we describe and prove some of their properties.

scholarly journals Intuitionistic fuzzy implications revisited. Part 1

2019 ◽  
Vol 25 (3) ◽  
pp. 71-78
Author(s):  
Krassimir Atanassov ◽  
◽  
Eulalia Szmidt ◽  
Janusz Kacprzyk ◽  
Nora Angelova ◽  
...  
Keyword(s):  
Fuzzy Implications ◽  
Intuitionistic Fuzzy

scholarly journals A remark on intuitionistic fuzzy implications

2018 ◽  
Vol 24 (2) ◽  
pp. 1-7
Author(s):  
Peter Vassilev ◽  
◽  
Simeon Ribagin ◽  
Janusz Kacprzyk ◽  
◽  
...  
Keyword(s):  
Fuzzy Implications ◽  
Intuitionistic Fuzzy

Local and global fuzzy implications in an intuitionistic fuzzy setting

2014 ◽  
Vol 8 ◽  
pp. 2519-2529
Author(s):  
Ganeshsree Selvachandran ◽  
Abdul Razak Salleh
Keyword(s):  
Fuzzy Implications ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Setting

Interval-Valued Intuitionistic Fuzzy Implications

2011 ◽  
Author(s):  
Lidiane Visintin ◽  
Renata Hax Sander Reiser ◽  
Benjamin Rene Callejas Bedregal
Keyword(s):  
Fuzzy Implications ◽  
Intuitionistic Fuzzy ◽  
Interval Valued

scholarly journals Research on intuitionistic fuzzy implications

2021 ◽  
Vol 27 (2) ◽  
pp. 20-93
Author(s):  
Nora Angelova ◽  
◽  
Krassimir Atanassov ◽  
◽  
Keyword(s):  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Fuzzy Implications ◽  
Intuitionistic Fuzzy

Currently in the theories of intuitionistic fuzzy sets, logics and pairs, there are 198 different implications. Here, we check the relationships between every two of them.

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