A Very Short Note on Some of the Fuzzy Operations

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Authors: Bikram Baro, Sahalad Borgoyary
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Abstract

This article reviews commonly used operations of fuzzy sets and compares them with classical (crisp) set operations. It highlights similarities, differences, and analogues through clear definitions, theorems, and illustrative examples. Special aspects of various fuzzy set operations are discussed, including Baruah’s newly proposed definitions. Rather than proposing a new theory, the article offers conceptual insights into operational relationships between fuzzy and crisp sets. Keywords: Fuzzy sets, fuzzy operations, Boolean algebra, classical set.

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
8 January 2026