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Journals / Journal of New Theory / 2019 / Sayı: 26

Generalized Roughness of (∈, ∈ ∨q)-Fuzzy Ideals in Ordered Semigroups

Azmat HUSSAİN
Muhammad İrfan ALİ
Tahir MAHMOOD
Pages
32–53
Publication Date
2019-01-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Ordered semigroups (OSGs) is a significant algebraic structure having partial ordered with associative binary operation.
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Key Findings & Data:OSGs have broad applications in various fields such as coding theory, automata theory, fuzzy finite state machines and computer science etc.
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Conclusion & Impact: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
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fuzzy sets · Rough sets · Approximations of fuzzy ideals

Abstract

Ordered semigroups (OSGs) is a significant algebraic structure having partial ordered with 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 (\isin;,\isin;\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

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Cite This Article

HUSSAİN, A., ALİ, M. İ., MAHMOOD, T. (2019). Generalized Roughness of (∈, ∈ ∨q)-Fuzzy Ideals in Ordered Semigroups. Journal of New Theory, Sayı: 26, 32–53. https://ajindex.com/articles/681550

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