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On Intuitionistic Fuzzy Abstract Algebras

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Fuzzy Logic and Neural Networks for Hybrid Intelligent System Design

Part of the book series: Studies in Computational Intelligence ((SCI,volume 1061))

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Abstract

The concept of abstract algebra on intuitionistic fuzzy sets introduced and some basic theorems prove. Homomorphism between intuitionistic fuzzy abstract algebras defined, intuitionistic fuzzy function examined and then intuitionistic fuzzy congruence relations defined on intuitionistic fuzzy abstract algebra. First and third isomorphism theorems on intuitionistic abstract algebras introduced.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Mersin University, Mersin, Turkey

    Gökhan Çuvalcıoğlu

  2. Department of Natural and Mathematical Sciences, Faculty of Engineering, Tarsus University, 33400, Tarsus, Turkey

    Sinem Tarsuslu

Authors
  1. Gökhan Çuvalcıoğlu
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  2. Sinem Tarsuslu
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Correspondence to Gökhan Çuvalcıoğlu .

Editor information

Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

  2. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Patricia Melin

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Çuvalcıoğlu, G., Tarsuslu, S. (2023). On Intuitionistic Fuzzy Abstract Algebras. In: Castillo, O., Melin, P. (eds) Fuzzy Logic and Neural Networks for Hybrid Intelligent System Design. Studies in Computational Intelligence, vol 1061. Springer, Cham. https://doi.org/10.1007/978-3-031-22042-5_2

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