Bipolar complex fuzzy subalgebras and ideals of BCK/BCI-algebras

Tahir Mahmood, Ubaid ur Rehman

2023Journal of Decision Analytics and Intelligent Computing16 citationsDOI Open Access PDF

Abstract

The conception of the bipolar complex fuzzy set (BCFS) is one of the fundamental and significant modifications of the fuzzy set (FS) to tackle the tricky and awkward information. BCFS has a rich and wider structure and has been utilized in various fields. In this article, we introduce the concept of bipolar complex fuzzy (BCF) subalgebras (BCFSAs), BCF ideals (BCFIs) of a BCK/BCI-algebra, along with certain properties. Further, we investigate the relations between BCFSA and a BCFI and a necessary condition for BCFSA to be a BCFI. We also investigate characterizations of BCFI. Moreover, we introduce the notion of equivalence relations on the collection of all BCFIs of BCK/BCI algebra and the associated properties of equivalence relations

Topics & Concepts

Equivalence (formal languages)Algebra over a fieldBrain–computer interfaceFuzzy logicFuzzy setFuzzy subalgebraMathematicsSet (abstract data type)Pure mathematicsComputer scienceFuzzy classificationArtificial intelligenceProgramming languagePsychiatryPsychologyElectroencephalographyFuzzy Logic and Control SystemsFuzzy and Soft Set TheoryMulti-Criteria Decision Making