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Keywords:
IPOLAR VALUED VAGUE SUBMONOIDS OF A MONOID
Authors
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.