• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.553-567
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• 2021

In this paper, we introduce concepts of MS-fuzzy ideals of MS-algebras. We reveal the connections between MS-fuzzy ideals and several kinds of fuzzy ideals as fuzzy prime ideals, kernel fuzzy ideals, e-fuzzy ideals and closure fuzzy ideals. We show that many of these classes are proper subclasses of the class of MS-fuzzy ideals. Finally some properties of the homomorphic images, inverse homomorphic images of MS-fuzzy ideals are studied.

• Korean Journal of Mathematics
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• v.27 no.3
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• pp.595-612
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• 2019

In this paper, we introduce the concept of ${\beta}$-fuzzy filters in MS-algebras and ${\beta}$-fuzzy filters are characterized in terms of boosters. It is proved that the lattice of ${\beta}$-fuzzy filters is isomorphic to the fuzzy ideal lattice of boosters.

• Korean Journal of Mathematics
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• v.27 no.4
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• pp.1159-1180
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• 2019

In this article, we present the notion of e-fuzzy filters in an MS-Algebra and characterize in terms of equivalent conditions. The concept of D-fuzzy filters is studied and the set of equivalent conditions under which every e-fuzzy filter is an D-fuzzy filter are observed. Moreover we study some properties of the space of all prime e-fuzzy filters of an MS-algebra.

• Korean Journal of Mathematics
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• v.28 no.3
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• pp.509-524
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• 2020

The notion of fuzzy closure filters is introduced and discussed in an MS-algebra. In particular, we characterize the prime fuzzy closure filters in terms of boosters. Some relationship between the lattice of fuzzy closure filters and the fuzzy ideal lattice of boosters are explored and investigated.