[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5391/JKIIS.2004.14.1.100

Some properties of fuzzy net-convergences

Kim, Yong-Chan (Department of Mathematics, Kangnung National University)
Ko, Jung-Mi (Department of Mathematics, Kangnung National University)

Publication Information

Journal of the Korean Institute of Intelligent Systems / v.14, no.1, 2004 , pp. 100-104 More about this Journal

Abstract

In this paper, we introduce the fuzzy limit degrees in L-fuzzy topologies using complete MV-algebras. We investigate the properties of net-convergences (the degrees of fuzzy convergent, fuzzy cluster, fuzzy adherent points and fuzzy limits).

Keywords

Complete MY-algebra; Neighborhood systems; The degrees of fuzzy adherent (cluster, convergent, limit) points;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

1	Pu Pao-Ming and Liu Ying-Ming," Fuzzy topology I; Neighborhood structures of a fuzzy point and Moore -Smith convergence," J. Math Anal. Appl., vol. 76, pp. 571-599, 1980. DOI
2	M.S. Ying," On the method of neighborhood systems in fuzzy topology," Fuzzy Sets and Systems, vol. 68, pp. 227-238, 1994. DOI ScienceOn
3	U .Hohle and S.E. Rodabaugh, Mathematics of fuzzy sets, Kluwer Academic Publishers, 1999.
4	M.Ward and R.P. Dilworth," Residuated lattices," Transactions of American Mathematical Society, vol. 45, pp. 335-354, 1939. DOI ScienceOn
5	J.M. Ko and Y.C. Kim,"Some properties of BL-algebras," J. Korea Fuzzy Logic and Intelligent Systems, vol. 11, no. 3, pp. 286-291, 2001. 과학기술학회마을
6	E. Turunen, Mathematics behind fuzzy logic, A Springer-Verlag Co., 1999.
7	Wang Guo-Jun, "Pointwise topology on completely distributive lattices," Fuzzy Sets and Systems, vol. 30, pp. 53-62, 1989. DOI ScienceOn
8	C.L.Chang," Fuzzy topological spaces," J. Math Anal. Appl., vol. 24, pp.182-190, 1968. DOI
9	P.Hajek, Metamathematices of Fuzzy Logic, Kluwer Academic Publishers, Dordrecht, 1998.
10	E. Turunen,"AIgebraic structures in fuzzy logic," Fuzzy Sets and Systems, vol. 52, pp. 181-188, 1992. DOI ScienceOn
11	U .Hohle," On the fundamentals of fuzzy set theory," J. Math Anal .Appl., vol. 201, pp. 786-826, 1996. DOI ScienceOn
12	R.R Yager, "On a general class of fuzzy connectives." Fuzzy sets and 5>ystems, vol. 4, pp. 235-242, 1980. DOI ScienceOn
13	S. Weber," A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms. "Fuzzy sets and Systems, vol. 11, pp. 115-134, 1983. DOI ScienceOn
14	Liu Ying-Ming and Luo Mao-Kang, Fuzzy topology, WorldScientific Publishing Co., Singapore, 1997.
15	Y.C. Kim and J.M. Ko,"The degrees of fuzzy net-convergences on complete MV-algebras," J. Korea Fuzzy Logic and Intelligent Systems, vol. 12, no.3, pp. 282-287, 2002. 과학기술학회마을 DOI ScienceOn
16	Y.C. Kim and J.M. Ko,"L-fuzzy topologies on complete MV-algebras," J. Korea Fuzzy Logic and Intelligent Systems, vol. 11, no. 7, pp. 649-652, 2001. 과학기술학회마을
17	M. Mizumoto,"Pictorial representations of fuzzy connectives I," Fuzzy Sets and Systems, vol. 31, pp. 217-245, 1989. DOI ScienceOn