Exploring novel extensions and applications of KM-algebras: insights into negative-valued functions and fuzzy ideals

Authors

  • Kalaiarasi Kalaichelvan Department of Mathematics, Cauvery College for Women (Autonomous), \\ Affiliated to Bharathidasan University, Tiruchirappalli 620018, Tamil Nadu, India
  • Manimozhi Vellaiswamy Department of Mathematics, Cauvery College for Women (Autonomous), \\ Affiliated to Bharathidasan University, Tiruchirappalli 620018, Tamil Nadu, India.
  • Prasantha Bharathi Dhandapani Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore 641202, Tamil Nadu, India
  • Seenith Sivasundaram Department of Mathematics, College of Science, Engineering and Mathematics, Daytona Beach,\\ Florida 321114, USA

Abstract

A timely-new extension of  algebras known as KM-algebras was proposed in 2019 and includes d-algebras and B-algebras. Afterwards, the process of fuzzifying KM-algebras prompted the investigation of several novel important  results. Specifically, a new method was developed for the negative-valued functions in KM-Subalgebras. This innovation adopted the intuitionistic negative-valued functions, which in turn led to a pillar of the implications of negative-valued intuitionistic fuzzy KMM-ideal. In addition, a detailed analysis of the main findings was provided together with the derivation of negative-valued intuitionistic fuzzy KMM-ideal and intuitionistic fuzzy k-ideal from  negative-valued intuitionistic functions in KM-Subalgebras.

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Published

2025-03-01

Issue

Vol. 32 No. 1 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Kalaiarasi Kalaichelvan, Manimozhi Vellaiswamy, Prasantha Bharathi Dhandapani, Seenith Sivasundaram

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Exploring novel extensions and applications of KM-algebras: insights into negative-valued functions and fuzzy ideals. (2025). Nonlinear Studies, 32(1), 341-356. https://nonlinearstudies.com/index.php/nonlinear/article/view/3835