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http://dx.doi.org/10.5391/IJFIS.2014.14.1.57

The Properties of L-lower Approximation Operators  

Kim, Yong Chan (Department of Mathematics, Gangneung-Wonju National University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.14, no.1, 2014 , pp. 57-65 More about this Journal
Abstract
In this paper, we investigate the properties of L-lower approximation operators as a generalization of fuzzy rough set in complete residuated lattices. We study relations lower (upper, join meet, meet join) approximation operators and Alexandrov L-topologies. Moreover, we give their examples as approximation operators induced by various L-fuzzy relations.
Keywords
Complete residuated lattices; L-upper approximation operators; Alexandrov L-topologies;
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1 Z. Pawlak, "Rough sets," International Journal of Computer & Information Sciences, vol. 11, no. 5, pp. 341-356, Oct. 1982. http://dx.doi.org/10.1007/BF01001956   DOI   ScienceOn
2 Z. Pawlak, "Rough probability," Bulletin of Polish Academy of Sciences: Mathematics, vol. 32, no. 9-10, pp. 607-615, 1984.
3 P. Hajek,Metamathematics of Fuzzy Logic, Dordrecht, The Netherlands: Kluwer, 1998.
4 A. M. Radzikowska and E. E. Kerre, "A comparative study of fuzzy rough sets," Fuzzy Sets and Systems, vol. 126, no. 2, pp. 137-155, Mar. 2002. http://dx.doi.org/10.1016/S0165-0114(01)00032-X   DOI   ScienceOn
5 R. Belohlavek, Fuzzy Relational Systems: Foundations and Principles, New York, NY: Kluwer Academic/Plenum Publishers, 2002.
6 Y. C. Kim, "Alexandrov L-topologies," International Journal of Pure and Applied Mathematics, 2014 [in press].
7 H. Lai and D. Zhang, "Fuzzy preorder and fuzzy topology," Fuzzy Sets and Systems, vol. 157, no. 14, pp. 1865-1885, Jul. 2006. http://dx.doi.org/10.1016/j.fss.2006.02.013   DOI   ScienceOn
8 H. Lai and D. Zhang, "Concept lattices of fuzzy contexts: formal concept analysis vs. rough set theory," International Journal of Approximate Reasoning, vol. 50, no. 5, pp. 695-707, May. 2009. http://dx.doi.org/10.1016/j.ijar.2008.12.002   DOI   ScienceOn
9 Y. C. Kim, "Alexandrov L-topologiesand L-join meet approximatin operators," International Journal of Pure and Applied Mathematics, vol. 91, no. 1, pp. 113-129, 2014. http://dx.doi.org/10.12732/ijpam.v91i1.12   DOI
10 Y. H. She and G. J. Wang, "An axiomatic approach of fuzzy rough sets based on residuated lattices," Computers & Mathematics with Applications, vol. 58, no. 1, pp. 189-201, Jul. 2009. http://dx.doi.org/10.1016/j.camwa.2009.03.100   DOI   ScienceOn