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(α, β)-fuzzy interior ideals in ordered semigroups

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Abstract

In this paper, we introduce the concept of (α, β)-fuzzy interior ideal in ordered semigroups, which is a generalization of a fuzzy interior ideal in ordered semigroup. We investigate the related properties of ordered semigroups in terms of (α, β)-fuzzy interior ideals. The concepts of an (∈,∈ ∨q)-fuzzy interior ideal and (∈,∈ ∨q)-fuzzy ideal coincide in case of regular(resp. intra-regular) ordered semigroups.

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Authors and Affiliations

  1. Department of Mathematics Quaid-i-Azam University Islamabad, Islamabad, Pakistan

    Asghar Khan & Muhammad Shabir

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  1. Asghar Khan
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  2. Muhammad Shabir
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Correspondence to Asghar Khan.

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(Submitted by M.M. Arslanov)

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Khan, A., Shabir, M. (α, β)-fuzzy interior ideals in ordered semigroups. Lobachevskii J Math 30, 30–39 (2009). https://doi.org/10.1134/S1995080209010053

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  • DOI: https://doi.org/10.1134/S1995080209010053

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