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http://dx.doi.org/10.7468/jksmeb.2016.23.2.119

INITIAL SOFT L-FUZZY PREPROXIMITIES  

KIM, YOUNG SUN (DEPARTMENT OF APPLIED MATHEMATICS, PAI CHAI UNIVERSITY)
KIM, YONG CHAN (DEPARTMENT OF MATHEMATICS, GANGNEUNG-WONJU NATIONAL)
Publication Information
The Pure and Applied Mathematics / v.23, no.2, 2016 , pp. 119-130 More about this Journal
Abstract
In this paper, we introduce the notions of soft L-fuzzy preproximities in complete residuated lattices. We prove the existence of initial soft L-fuzzy preproximities. From this fact, we define subspaces and product spaces for soft L-fuzzy preproximity spaces. Moreover, we give their examples.
Keywords
complete residuated lattices; (initial) soft L-preproximities; fuzzy proximity soft maps;
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1 Í. Zorlutuna, M. Akdag, W.K. Min & S. Atmaca: Remarks on soft topological spaces. Ann. Fuzzy Math. Inform. 3 (2012), no. 2, 171-185.
2 _______: Soft L-uniformities and soft L-neighborhood systems. J. Math. Comput. Sci. (to appear).
3 P. Hájek: Metamathematices of Fuzzy Logic. Kluwer Academic Publishers, Dordrecht (1998).
4 K.V. Babitha & J.J. Sunil: Soft set relations and functions. Compu. Math. Appl. 60(2010), 1840-1849.   DOI
5 N. Caman, S. Karatas & S. Enginoglu: Soft topology. Comput. Math. Appl. 62 (2011), no. 1, 351-358.   DOI
6 D. Čimoka & A.P. Šostak: L-fuzzy syntopogenous structures, Part I: Fundamentals and application to L-fuzzy topologies, L-fuzzy proximities and L-fuzzy uniformities. Fuzzy Sets and Systems 232 (2013), 74-97.   DOI
7 F. Feng, X. Liu, V.L. Fotea & Y.B. Jun: Soft sets and soft rough sets. Information Sciences 181 (2011), 1125-1137.   DOI
8 _______: Soft L-fuzzy quasi-uniformities and soft L-fuzzy topogenous orders. Submit to J. Intelligent and Fuzzy Systems.
9 U. Höhle & S.E. Rodabaugh: Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory. The Handbooks of Fuzzy Sets Series 3, Kluwer Academic Publishers, Boston, 1999.
10 Y.C. Kim & J.M. Ko: Soft L-topologies and soft L-neighborhood systems. J. Math. Comput. Sci. (to appear).
11 R. Lowen: Fuzzy uniform spaces. J. Math. Anal. Appl. 82 (1981), 370-385.   DOI
12 D. Molodtsov: Soft set theory. Comput. Math. Appl. 37 (1999), 19-31.
13 Z. Pawlak: Rough sets. Int. J. Comput. Inf. Sci. 11 (1982), 341-356.   DOI
14 _______: Rough probability. Bull. Pol. Acad. Sci. Math. 32 (1984), 607-615.
15 A.A. Ramadan, E.H. Elkordy & Y.C. Kim: Perfect L-fuzzy topogenous space, L-fuzzy quasi-proximities and L-fuzzy quasi-uniform spaces. J. Intelligent and Fuzzy Systems 28 (2015), 2591-2604.   DOI
16 M. Shabir & M. Naz: On soft topological spaces. Comput. Math. Appl. 61 (2011), 1786-1799.   DOI
17 B. Tanay & M.B. Kandemir: Topological structure of fuzzy soft sets. Comput. Math. Appl. 61 (2011), no. 10, 2952-2957.   DOI
18 Hu Zhao & Sheng-Gang Li: L-fuzzifying soft topological spaces and L-fuzzifying soft interior operators. Ann. Fuzzy Math. Inform. 5 (2013), no. 3, 493-503.   DOI