Generated interior ideals of semigroups in terms of fuzzy subset

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Selvaraj Vijay Peter
Thiagarajan Manikantan

Abstract

Mo and Wang, in 1995, defined and studied the notion of fuzzy interior ideal generated by a fuzzy subset in a semigroup with unity. In this paper, we study the concept of fuzzy interior ideal generated by a fuzzy subset in a semigroup. Our study does not require the existence of unit element. We provide an expression for generated fuzzy interior ideal in terms of  interior ideals generated by the level subsets of the given fuzzy subset. Further, we study the homomorphic image and homomorphic pre-image of generated fuzzy interior ideal in a semigroup.

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How to Cite
Vijay Peter, S., & Manikantan, T. (2017). Generated interior ideals of semigroups in terms of fuzzy subset. International Journal of Algebra and Statistics, 6(1-2), 131-137. https://doi.org/10.20454/ijas.2017.1268
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