Issue:Characterizing regular semigroups using intuitionistic fuzzy sets

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Title of paper: Characterizing regular semigroups using intuitionistic fuzzy sets Author(s): Yongfa Hong College of Electronic Information and Engineering, Tongji University, 200092, Shanghai, China 0410080012@smail.tongji.edu.cn Changjun Jiang College of Information Science and Engineering, Shandong University of Sciences and Technology, 266510 Qingdao, Shandong, China Published in: "Notes on IFS", Volume 10 (2003) Number 2, pages 20-31 Download:  PDF (4840  Kb, File info) Abstract: In the present paper, we give some properties of intuitionistic fuzzy ideals and intuitionistic fuzzy biideal in a semigroup, and characterize a regular semigroup in terms of intuitionistic fuzzy left, right, and two-sided and biideals. Keywords: Intuitionistic fuzzy ideal, Intuitionistic fuzzy biideal, Regular semigroup References: n/a The list of references of this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page. Citations: N. Kuroki, Two-sided purity on regular semigroups, Comment. Math. Univ. St. Paul., 24:21-26(1975). N. Kuroki, Fuzzy biideals in semigroup. Comment. Math. Univ. St. Paul., 28:17-21(1979). N. Kuroki, On fuzzy ideals and fuzzy biideals in semigroup, Fuzzy Sets and Systems, 5:203-215(1981). N. Kuroki, Fuzzy semiprime ideals in semigroups, Fuzzy Sets and Systems, 8:71-78(1982). N. Kuroki, On fuzzy semigroups, Information Science, 53:203-236(1991). J. N. Mordeson, D. S. Malik, N. Kuroki, Fuzzy semigroups, Berlin, New York: Springer-Verlag, 2002. W. J. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems, 21:133-139(1982). A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35:512-517(1971). L. A. Zadeh, Fuzzy sets, Inform. And Control, 8:338-353(1965) K. T. Atanassov, Intuitionistic fuzzy sets, Central Tech. Library, Bulgarian Academy Science, Sofia, Bulgaria, Rep. No. 1697/84, 1983. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20:87-96(1986). K. T. Atanassov, Intuitionistic Fuzzy Sets, Heidelberg, Germany: Physica-Verlag, 1999. K. Iseki, A characterization of regular semigroups, Proc. Japan Acad., 32:676-677 Issue:Intuitionistic fuzzy filters of ordered semigroups ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.