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Generalized Roughness of (\isin;,\isin;\or;q)-Fuzzy Ideals in Ordered Semigroups
ISSN: 2149 - 1402
Publisher: author
Generalized Roughness of (\isin;,\isin;\or;q)-Fuzzy Ideals in Ordered Semigroups
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Science General
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1.3
Article Basics Score: 3
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Article Articles Score: 2
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International Category Code (ICC):
ICC-1402
Publisher: Journal Of New Theory Naim Çağman
International Journal Address (IAA):
IAA.ZONE/214976791402
eISSN
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2149 - 1402
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Abstract
Ordered semigroups (OSGs) is a significant algebraic structure having partial ordered with an associative binary operation. OSGs have broad applications in various fields such as coding theory, automata theory, fuzzy finite state machines and computer science etc. In this manuscript, we investigate the notion of generalized roughness for fuzzy ideals in OSGs on the basis of isotone and monotone mappings. Then the notion of approximation is boosted to the approximation of fuzzy bi-ideals,~approximations fuzzy interior ideals and approximations fuzzy quasi-ideals in OSGs and investigate their related properties. Furthermore $(\in;\in;\or q)$-fuzzy ideals are the generalization of fuzzy ideals. Also, the generalized roughness for (\isin;,\isin;\or;q)-fuzzy ideals, fuzzy bi-ideals and fuzzy interior ideals have been studied in OSGs and discuss the basic properties on the basis of isotone and monotone mappings
