Operations on Balanced Fuzzy Sets

This study is based on an extension of fuzzy sets called balanced fuzzy sets. The study makes it possible to describe both uncertain and incomplete information and present the degree of membership or non-membership of a set relatively efficiently. In this work, we discuss balanced fuzzy sets operato...

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Bibliographic Details
Main Authors: Matusiewicz, Zofia, Homenda, Wladyslaw
Format: Conference Proceeding
Language:English
Subjects:
balanced fuzzy operators
Balanced fuzzy sets
Fuzzy logic
Fuzzy sets
Fuzzy systems
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Summary:This study is based on an extension of fuzzy sets called balanced fuzzy sets. The study makes it possible to describe both uncertain and incomplete information and present the degree of membership or non-membership of a set relatively efficiently. In this work, we discuss balanced fuzzy sets operators. We compare the concepts of fuzzy sets and balanced fuzzy sets, and operations on them. In introducing the concepts of balanced sets, we refer to concepts from fuzzy logic, thus showing that the concept of a balanced fuzzy set is a concept that extends fuzzy set theory-enriching it with the possibility of simultaneous analysis of positive and negative information. We also give numerous examples from everyday life, where we encounter problems with fuzzy balanced sets.
ISSN:1558-4739
DOI:10.1109/FUZZ52849.2023.10309700