Intuitionistic Fuzzy Points in Semigroups
| Autor: | Majumder, Sujit Kumar Sardar Manasi Mandal Samit Kumar |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: |
Mathematics::Logic
Intuitionistic fuzzy semiprime ideal Intuitionistic fuzzy subsemigroup Mathematics::General Mathematics Intuitionistic fuzzy point Computer Science::Logic in Computer Science Semigroup Intuitionistic fuzzy ideal Regular(intra-regular) semigroup Intuitionistic fuzzy prime ideal Intuitionistic fuzzy interior ideal |
| DOI: | 10.5281/zenodo.1071664 |
| Popis: | The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. Y.B. Jun and S.Z. Song introduced the notion of intuitionistic fuzzy points. In this paper we find some relations between the intuitionistic fuzzy ideals of a semigroup S and the set of all intuitionistic fuzzy points of S. {"references":["K. Atanassov; Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986)\n87-96.","K. Atanassov; New operations defined over the intuitionistic fuzzy sets,\nFuzzy Sets and Systems, 61(1994) 137-142.","K. Atanassov; Intuitionistic fuzzy sets, theory and Applications, Studies\nin Fuzziness and Soft Computing., 35(1999) Physica-Verlag, Heidelberg.","J.M. Howie; Fundamentals of semigroup theory, London Mathematical\nSociety Monographs. New Series, 12. Oxford Science Publications. The\nClarendon Press, Oxford University Press, New York, 1995.","Y.B. Jun, S.M. Hong and J. Meng; Fuzzy interior ideals in semigroups,\nIndian J. of Pure Appl. Math., 26(9)(1995) 859-863.","Y.B. Jun and S.Z. Song; Intuitionistic fuzzy semipreopen sets and\nintuitionistic fuzzy semiprecontinuous mappings, Journal of Appl. Math.\nand Computing, 19(1-2)(2005) 467-474.","K.H. Kim; On fuzzy points in semigroups, International Journal of\nMathematics and Mathematical Sciences, 26(11) (2001) 707-712.","N. Kuroki; On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy\nSets and Systems, 5(1981) 203-215.","N. Kuroki; On fuzzy semigroups, Information Sciences, 53(1991)\n203-236.\n[10] N. Kuroki ; Fuzzy semiprime quasi ideals in semigroups, Inform. Sci.,\n75(3)(1993) 201-211.\n[11] Mordeson et all; Fuzzy semigroups, Springer-Verlag (2003), Heidelberg.\n[12] P.M. Pu and Y.M. Liu; Fuzzy topology I, neighbourhood structure of\na fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl., 76(2)\n(1980) 571-599.\n[13] A. Rosenfeld; Fuzzy groups, J. Math. Anal. Appl., 35 (1971) 512-517.\n[14] S.K. Sardar, M. Mandal and S.K. Majumder; On intuitionistic fuzzy\nmagnified translation in semigroups,(Communicated).\n[15] X.P. Wang, Z.W. Mo and W.J. Liu; Fuzzy ideals generated by fuzzy\npoint in semigroups, Sichuan Shifan Daxue Xuebao Ziran Kexue Ban.,\n15(4) (1992) 17-24.\n[16] X.Y. Xie; Fuzzy ideal extensions of semigroups,, Soochow Journal of\nMathematics, 27(2)(April 2001) 125-138.\n[17] X.Y. Xie; Fuzzy ideal extensions of ordered semigroups, Lobach Journal\nof Mathematics, 19(2005) 29-40.\n[18] Y.H. Yon; The semigroup of fuzzy points, Submitted in Comm. Algebra.\n[19] L.A. Zadeh; Fuzzy sets, Information and Control, 8 (1965) 338-353."]} |
| Databáze: | OpenAIRE |
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