Intuitionistic fuzzy quasi-ideals in ordered semigroups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2010), pp. 67-81

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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.
@article{IVM_2010_12_a6,
     author = {A. Khan and M. Shabir and Y. B. Jun},
     title = {Intuitionistic fuzzy quasi-ideals in ordered semigroups},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {67--81},
     publisher = {mathdoc},
     number = {12},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_12_a6/}
}
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A. Khan; M. Shabir; Y. B. Jun. Intuitionistic fuzzy quasi-ideals in ordered semigroups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2010), pp. 67-81. http://geodesic.mathdoc.fr/item/IVM_2010_12_a6/