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Fuzzy implications generated from fuzzy logic operators on bounded lattices

2024
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Advisor: Prof. Dr. Funda Karaçal

Abstract (EN)

This thesis intends to give methods for to generate implications on bounded lattices and to examine the properties of the implications constructed with these methods. In the first chapter of this study, several basic concepts known from lattice theory and fuzzy set theory are offered. In the second chapter of this study, several construction methods are revealed to build implications on bounded lattices by using a fixed element, logic operators such as t-norm, t-conorm, negation, implication and necessary constraints. The properties of these construction methods and their relationship with the literature were examined. The obtained construction methods were applied with examples.

Author

Dr. Kübra Karacair

How to Cite

Kübra Karacair (Master Thesis). Fuzzy implications generated from fuzzy logic operators on bounded lattices, 2024, Karadeniz Technical University.

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