Homomorphism and Isomorphism into a Complex Fuzzy Number Group

Authors

  • Durai Ganesh A, Charles Sagayaraj A C, K. Rajaannam

Abstract

Fuzzy mathematics forms a branch of mathematics including fuzzy set theory & fuzzy logic. It started in 1965 after the publication of LotfiAskeZadeh's seminal work Fuzzy sets.

A fuzzy number is a generalization of a regular, real number in the sense that it does not refer to one single value but rather to a connected set of possible values, where each possible value has its own weight between 0 and 1. This weight is called the membership function. Calculations with fuzzy numbers allow the incorporation of uncertainty on parameters, properties, geometry, initial conditions, etc.

In this article, we define the concepts of homomorphism and isomorphism of complex fuzzy number groups. And the properties of complex fuzzy number homomorphism and fuzzy number isomorphism are studied.

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Published

2023-09-12

How to Cite

K. Rajaannam, D. G. A. C. S. A. C. . . (2023). Homomorphism and Isomorphism into a Complex Fuzzy Number Group. Mathematical Statistician and Engineering Applications, 72(2), 193–203. Retrieved from https://www.philstat.org/index.php/MSEA/article/view/2835

Issue

Vol. 72 No. 2 (2023)

Section

Articles