A New Type of Fuzzy Prime Subset in Ordered Semigroups

Ahsan Mahboob () and G. Muhiuddin
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Ahsan Mahboob: Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle 517325, India
G. Muhiuddin: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 03, 739-752

Abstract: In this paper, we first introduce and characterize (∈,∈∨(κ∗,q κ))-fuzzy prime subset of the ordered semigroups. Then the (κ∗,κ)-lower part of the (∈,∈∨(κ∗,q κ))-fuzzy prime subset is defined and its associated properties are studied. Moreover, the intra-regularity of ordered semigroups characterizes in terms of (∈,∈∨(κ∗,q κ))-fuzzy prime ideals and their (κ∗,κ)-lower parts.

Keywords: Ordered semigroups; fuzzy subsets; (∈; ∈∨(κ∗; qκ))-fuzzy prime subsets (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S1793005721500368

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