GDL

Journal from gdlhub / 2021-08-26 16:59:19
Oleh : Abdus Salam, Wajih Ashraf, Ahsan Mahboob & Noor Mohammad Khan, Fuzzy Information and Engineering
Dibuat : 2021-08-26, dengan 0 file

Keyword : Ordered semigroup, fuzzy subset, (∈,∈∨(k∗, qk))-fuzzy bi-ideal, (∈,∈∨(k∗, qk))-antifuzzy bi-ideal
Url : http://www.tandfonline.com/doi/full/10.1080/16168658.2020.1753496
Sumber pengambilan dokumen : Web

Adopting the notion of a (k∗,q)-quasi-coincidence of a fuzzy point with a fuzzy set, the idea of an (∈,∈∨(k∗, qk))-antifuzzy left (right) ideal, (∈,∈∨(k∗, qk))-antifuzzy ideal and (∈,∈∨(k∗, qk))-antifuzzy (generalized) bi-ideal in ordered semigroups are proposed, that are the generalization of the idea of an antifuzzy left (right) ideal, antifuzzy ideal and antifuzzy (generalized) bi-ideal in ordered semigroups and a few fascinating characterizations are obtained. In this paper, we tend to focus to suggest a connection between standard generalized bi-ideals and (∈,∈∨(k∗, qk))-antifuzzy generalized bi-ideals. In addition, different classes of regular ordered semigroups are characterized by the attributes of this new idea. Finally, the (k∗,k)-lower part of an (∈,∈∨(k∗, qk))-antifuzzy generalized bi-ideal is outlined and a few characterizations are mentioned.

Deskripsi Alternatif :

Adopting the notion of a (k∗,q)-quasi-coincidence of a fuzzy point with a fuzzy set, the idea of an (∈,∈∨(k∗, qk))-antifuzzy left (right) ideal, (∈,∈∨(k∗, qk))-antifuzzy ideal and (∈,∈∨(k∗, qk))-antifuzzy (generalized) bi-ideal in ordered semigroups are proposed, that are the generalization of the idea of an antifuzzy left (right) ideal, antifuzzy ideal and antifuzzy (generalized) bi-ideal in ordered semigroups and a few fascinating characterizations are obtained. In this paper, we tend to focus to suggest a connection between standard generalized bi-ideals and (∈,∈∨(k∗, qk))-antifuzzy generalized bi-ideals. In addition, different classes of regular ordered semigroups are characterized by the attributes of this new idea. Finally, the (k∗,k)-lower part of an (∈,∈∨(k∗, qk))-antifuzzy generalized bi-ideal is outlined and a few characterizations are mentioned.

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