Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point
The intuitionistic fuzzification of the notion of an interior ideal in ordered semigroups is considered. The purpose of this study is to introduce the notion of (∈, ∈ vq)-intuitionistic fuzzy interior ideals and (∈, ∈)-intuitionistic fuzzy nterior ideals of semigroups. The important milestone of the...
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doaj-70997a82a2f44e439588069d4e2826782020-11-24T21:45:43ZengZibeline InternationalMatrix Science Mathematic2521-08312521-084X2017-11-0112222610.26480/msmk.02.2017.22.26Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy pointHidayat Ullah KhanNor Haniza SarminAsghar KhanFaiz Muhammad Khan Muhammad TajThe intuitionistic fuzzification of the notion of an interior ideal in ordered semigroups is considered. The purpose of this study is to introduce the notion of (∈, ∈ vq)-intuitionistic fuzzy interior ideals and (∈, ∈)-intuitionistic fuzzy nterior ideals of semigroups. The important milestone of the present paper is to link ordinary intuitionistic fuzzy interior ideals, (∈, ∈)-intuitionistic fuzzy interior ideals and (∈, ∈ vq)-intuitionistic fuzzy interior ideals. Moreover, semigroups are characterized by the properties of these new notions.https://matrixsmathematic.com/archives/2msmk2017/2msmk2017-22-26.pdfIntuitionistic fuzzy interior ideal; q)( -fuzzy interior ideal; )( -fuzzy interior ideal. 2000 Mathematics Subject Classification: 06F05; 20M12; 08A72. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hidayat Ullah Khan Nor Haniza Sarmin Asghar Khan Faiz Muhammad Khan Muhammad Taj |
spellingShingle |
Hidayat Ullah Khan Nor Haniza Sarmin Asghar Khan Faiz Muhammad Khan Muhammad Taj Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point Matrix Science Mathematic Intuitionistic fuzzy interior ideal; q) ( -fuzzy interior ideal; ) ( -fuzzy interior ideal. 2000 Mathematics Subject Classification: 06F05; 20M12; 08A72. |
author_facet |
Hidayat Ullah Khan Nor Haniza Sarmin Asghar Khan Faiz Muhammad Khan Muhammad Taj |
author_sort |
Hidayat Ullah Khan |
title |
Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point |
title_short |
Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point |
title_full |
Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point |
title_fullStr |
Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point |
title_full_unstemmed |
Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point |
title_sort |
intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point |
publisher |
Zibeline International |
series |
Matrix Science Mathematic |
issn |
2521-0831 2521-084X |
publishDate |
2017-11-01 |
description |
The intuitionistic fuzzification of the notion of an interior ideal in ordered semigroups is considered. The purpose of this study is to introduce the notion of (∈, ∈ vq)-intuitionistic fuzzy interior ideals and (∈, ∈)-intuitionistic fuzzy nterior ideals of semigroups. The important milestone of the present paper is to link ordinary intuitionistic fuzzy interior ideals, (∈, ∈)-intuitionistic fuzzy interior ideals and (∈, ∈ vq)-intuitionistic fuzzy interior ideals. Moreover, semigroups are characterized by the properties of these new notions. |
topic |
Intuitionistic fuzzy interior ideal; q) ( -fuzzy interior ideal; ) ( -fuzzy interior ideal. 2000 Mathematics Subject Classification: 06F05; 20M12; 08A72. |
url |
https://matrixsmathematic.com/archives/2msmk2017/2msmk2017-22-26.pdf |
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AT hidayatullahkhan intuitionisticfuzzyinterioridealofsemigroupbasedonintuitionisticfuzzypoint AT norhanizasarmin intuitionisticfuzzyinterioridealofsemigroupbasedonintuitionisticfuzzypoint AT asgharkhan intuitionisticfuzzyinterioridealofsemigroupbasedonintuitionisticfuzzypoint AT faizmuhammadkhan intuitionisticfuzzyinterioridealofsemigroupbasedonintuitionisticfuzzypoint AT muhammadtaj intuitionisticfuzzyinterioridealofsemigroupbasedonintuitionisticfuzzypoint |
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