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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 12, Pages 67–81 (Mi ivm7162)  
This article is cited in 3 scientific papers (total in 3 papers)

Intuitionistic fuzzy quasi-ideals in ordered semigroups

A. Khana, M. Shabirb, Y. B. Junc

a Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
b Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
c Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju, Korea
Full-text PDF (247 kB) Citations (3)
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Abstract: In this paper we define intuitionistic fuzzy quasi-ideals of ordered semigroups. The main result of the paper is a characterization of quasi-ideals in terms of intuitionistic fuzzy quasi-ideals. We also characterize left simple, right simple, and completely regular ordered semigroups in terms of intuitionistic fuzzy quasi-ideals. We study the decomposition of left and right simple ordered semigroups with the help of intuitionistic fuzzy quasi-ideals.
Keywords: subsemigroups, quasi(bi)-ideals, left (right) regular, left (right) simple ordered semigroups, completely regular ordered semigroups, intuitionistic fuzzy sets, intuitionistic fuzzy subsemigroups, intuitionistic fuzzy quasi(bi)-ideals of ordered semigroups.
Received: 28.03.2009
Revised: 12.10.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 12, Pages 59–71
DOI: https://doi.org/10.3103/S1066369X10120078
Bibliographic databases:
Document Type: Article
UDC: 512.533
Language: Russian
Citation: A. Khan, M. Shabir, Y. B. Jun, “Intuitionistic fuzzy quasi-ideals in ordered semigroups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 12, 67–81; Russian Math. (Iz. VUZ), 54:12 (2010), 59–71
Citation in format AMSBIB
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\by A.~Khan, M.~Shabir, Y.~B.~Jun
\paper Intuitionistic fuzzy quasi-ideals in ordered semigroups
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 12
\pages 67--81
\mathnet{http://mi.mathnet.ru/ivm7162}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814580}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 12
\pages 59--71
\crossref{https://doi.org/10.3103/S1066369X10120078}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952819905}
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  • https://www.mathnet.ru/eng/ivm7162
  • https://www.mathnet.ru/eng/ivm/y2010/i12/p67
    • This publication is cited in the following 3 articles:
    1. Pairote Yiarayong, “On interval valued intuitionistic fuzzy subset theory applied to semihypergroups”, Afr. Mat., 34:1 (2023)  crossref
    2. Mahboob A., Salam A., Ali M.F., Khan N.M., “Characterizations of Regular Ordered Semigroups By (Is An Element of,Is An Element of(K,Q(K)))-Fuzzy Quasi-Ideals”, Mathematics, 7:5 (2019), 401  crossref  mathscinet  isi  scopus
    3. Jian Tang, Xiang-Yun Xie, “On (∈, ∈ ∨qk)-fuzzy Ideals of Ordered Semigroups”, Fuzzy Information and Engineering, 5:1 (2013), 57  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :106
    References:84
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