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Keywords:

Fuzzy subset, vague subset, bipolar valued fuzzy subset, bipolar valued vague subset, bipolar valued vague submonoid, intersection, product, translations, strongest.

IPOLAR VALUED VAGUE SUBMONOIDS OF A MONOID

Authors

KE. SATHAPPAN*1 | M. S. ANITHA2 | K. ARJUNAN3

Abstract

In this paper, bipolar valued vague submonoid of a monoid is introduced and some properties are discussed. Bipolar valued vague submonoid of a monoid is a generalized form of vague submonoid of the monoid, vague submonoid of the monoid is a generalized form of fuzzy submonoid of the monoid and fuzzy submonoid of the monoid is a generalized form of monoid. Here bipolar valued vague submonoid of a monoid is discussed with their properties and theorems.    

Article Details

Published

2025-12-05

How to Cite

KE. SATHAPPAN*, M. S. ANITHA, & K. ARJUNAN. (2025). IPOLAR VALUED VAGUE SUBMONOIDS OF A MONOID. International Journal of Mathematical Archive, 16(11). http://ijma.info/index.php/ijma/article/view/6394