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

Azmat HUSSAİN; Muhammad İrfan ALİ; Tahir MAHMOOD

Makale detayları

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

Yazarlar:

Azmat HUSSAİN | Muhammad İrfan ALİ | Tahir MAHMOOD

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Theory 2019 Issue 26, pp.32-53

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000490611

Sıklık:

Üç Aylık

pISSN:

2149-1402

Özet:

 


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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Makale detayları

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

Yazarlar: Azmat HUSSAİN | Muhammad İrfan ALİ | Tahir MAHMOOD

Yayıncı: Tokat Gaziosmanpasa University

Ana Başlıklar: Matematik

Dergi: Journal of New Theory 2019 Issue 26, pp.32-53

Belge Tipi: Makale

Yayın Tarihi: 12/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000490611

Sıklık: Üç Aylık

pISSN: 2149-1402

Sayı

Yazarlar:

Azmat HUSSAİN | Muhammad İrfan ALİ | Tahir MAHMOOD

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Theory 2019 Issue 26, pp.32-53

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000490611

Sıklık:

Üç Aylık

pISSN:

2149-1402