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Keywords:

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

BIPOLAR VALUED VAGUE SUBSEMIGROUPS OF A SEMIGROUP

Authors

M. SHANMUGAVALLI*1 | K. ARJUNAN2

Abstract

In this paper, bipolar valued vague subsemigroup of a semigroup is introduced and some properties are discussed. Bipolar valued vague subsemigroup of a semigroup is a generalized form of vague subsemigroup of the semigroup, vague subsemigroup of the semigroup is a generalized form of fuzzy subsemigroup of the semigroup and fuzzy subsemigroup of the semigroup is a generalized form of semigroup.

Article Details

Published

2025-11-19

How to Cite

M. SHANMUGAVALLI*, & K. ARJUNAN. (2025). BIPOLAR VALUED VAGUE SUBSEMIGROUPS OF A SEMIGROUP. International Journal of Mathematical Archive, 15(12). http://ijma.info/index.php/ijma/article/view/6388