Abstract
A new class of functions called L-fuzzy weakly semi-preopen (semi-preclosed) functions in L-fuzzy topological spaces is introduced in this paper. Some characterizations of this class and its properties and the relationship with other classes of functions between L-fuzzy topological spaces are also obtained.
Similar content being viewed by others
References
Abbas SE (2004) Fuzzy sp-irresolute functions. Chaos Solitons Fractals 21:1075–1085
Chang CL (1968) Fuzzy topological spaces. J Math Anal Appl 24:39–90
Chattopadhyay KC, Samanta SK (1993) Fuzzy topology: fuzzy closure operator, fuzzy compactness and fuzzy connectedness. Fuzzy Sets Syst 54:207–212
Dimirci M (1997) Neighborhood strucure of smooth topological spaces. Fuzzy Sets Syst 92:123–128
Dwinger P (1982) Characterizations of the complete homomorphic images of a completely distributive complete lattice i. Indag Math (Proc) 85:403–414
Gierz G, et al (1980) A compendium of continuous lattices. Springer, Berlin
Lee SJ, Lee EP (2002) Fuzzy r-regular open sets and fuzzy almost r-continuous maps. Bull Korean Math Soc 39:441–453
Liu YM, Luo MK (1997) Fuzzy topology. World Scientific, Singapore
Kubiak T (1985) On fuzzy topologies. Ph.D. thesis, A. Mickiewicz, Poznan
Kim YC (2003) Initial L-fuzzy closure spaces. Fuzzy Sets Syst 133:277–297
Kim YC, Park JW (2000) R-fuzzy δ-closure and R-fuzzy θ-closure sets. Int J Fuzzy Logic Intell Sys 10:557–563
Ramadan AA, Kim YC, Abbas SE (2003) Weaker forms of continuity in Šostak’s fuzzy topology. Indian J Pure Appl Math 34:311–33
Shi F-G (1995) Theory of L β-nested sets and L α-nested and their applications. Fuzzy Syst Math 4:65–72 (in chinese)
Shi F-G, Zhang J, Zheng C-Y (2005) On L-fuzzy topological spaces. Fuzzy Sets Syst 149:473–484
Smets P (1981) The degree of belief in a fuzzy event. Inf Sci 25:1–19
Šostak AP (1985) On a fuzzy topological structure. Supp Rend Circ Matem Palermo-Sir II 11:89–103
Šostak AP (1996) Basic structure of fuzzy topology. J Math Sci 78:662–701
Sugeno M (1985) An introductory survey of fuzzy control. Inf Sci 36:59–83
Wang G-J (1988) Theory of L-fuzzy topological space. Shaanxi Normal University Press, Xi’an, 1988 (in Chinese)
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353
Acknowledgments
The author would like to thank the reviewers for their valuable comments and helpful suggestions for improvement of the original manuscript.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by L. Spada.
Rights and permissions
About this article
Cite this article
Ghareeb, A. Weakly semi-preopen and semi-preclosed functions in L-fuzzy topological spaces. Soft Comput 17, 725–731 (2013). https://doi.org/10.1007/s00500-012-0950-1
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-012-0950-1