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INITIAL SOFT L-FUZZY PREPROXIMITIES
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  • Journal title : The Pure and Applied Mathematics
  • Volume 23, Issue 2,  2016, pp.119-130
  • Publisher : Korea Society of Mathematical Education
  • DOI : 10.7468/jksmeb.2016.23.2.119
 Title & Authors
INITIAL SOFT L-FUZZY PREPROXIMITIES
KIM, YOUNG SUN; KIM, YONG CHAN;
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 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;
 Language
English
 Cited by
 References
1.
K.V. Babitha & J.J. Sunil: Soft set relations and functions. Compu. Math. Appl. 60(2010), 1840-1849. crossref(new window)

2.
N. Caman, S. Karatas & S. Enginoglu: Soft topology. Comput. Math. Appl. 62 (2011), no. 1, 351-358. crossref(new window)

3.
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. crossref(new window)

4.
F. Feng, X. Liu, V.L. Fotea & Y.B. Jun: Soft sets and soft rough sets. Information Sciences 181 (2011), 1125-1137. crossref(new window)

5.
P. Hájek: Metamathematices of Fuzzy Logic. Kluwer Academic Publishers, Dordrecht (1998).

6.
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.

7.
Y.C. Kim & J.M. Ko: Soft L-topologies and soft L-neighborhood systems. J. Math. Comput. Sci. (to appear).

8.
_______: Soft L-uniformities and soft L-neighborhood systems. J. Math. Comput. Sci. (to appear).

9.
_______: Soft L-fuzzy quasi-uniformities and soft L-fuzzy topogenous orders. Submit to J. Intelligent and Fuzzy Systems.

10.
R. Lowen: Fuzzy uniform spaces. J. Math. Anal. Appl. 82 (1981), 370-385. crossref(new window)

11.
D. Molodtsov: Soft set theory. Comput. Math. Appl. 37 (1999), 19-31.

12.
Z. Pawlak: Rough sets. Int. J. Comput. Inf. Sci. 11 (1982), 341-356. crossref(new window)

13.
_______: Rough probability. Bull. Pol. Acad. Sci. Math. 32 (1984), 607-615.

14.
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. crossref(new window)

15.
M. Shabir & M. Naz: On soft topological spaces. Comput. Math. Appl. 61 (2011), 1786-1799. crossref(new window)

16.
B. Tanay & M.B. Kandemir: Topological structure of fuzzy soft sets. Comput. Math. Appl. 61 (2011), no. 10, 2952-2957. crossref(new window)

17.
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. crossref(new window)

18.
Í. Zorlutuna, M. Akdag, W.K. Min & S. Atmaca: Remarks on soft topological spaces. Ann. Fuzzy Math. Inform. 3 (2012), no. 2, 171-185.