Study of Generalization of Nearly Fuzzy Open Sets
DOI:
https://doi.org/10.32628/IJSRST2512380Keywords:
Fuzzy Closed Set, Fuzzy Open Set, Function, Boundary, ClosersAbstract
The purpose of this paper is to introduce the concepts of fuzzy C−regular open sets, fuzzy C−−open sets, fuzzy C−semi open sets and fuzzy C−pre open sets where C:[0,1][0,1]is an arbitrary complement function.
Downloads
References
M.Athar and B.Ahmad, Fuzzy boundary and Fuzzy semi boundary, Advances in Fuzzy systems (2008), Article ID 586893, 9 pages.
Fuzzy sets, fuzzy S-open and fuzzy S-closed mappings, Advances in Fuzzy systems (2009), Article ID 303042, 5 pages.
K.K.Azad, On fuzzy semi-continuity, fuzzy almost continuity and fuzzy weakly continuity, J.Math.Anal.Appl. 82(1)(1981), 14-32.
K.K.Azad and Shiva Mittal, On Hausdorffness and Compactness in Intuitionistic Fuzzy Topological Spaces, Mat. vesnik 63(2)(2011),145-155.
A.S. Bin shahana, On fuzzy strong semi-continuity and fuzzy precontinuity, Fuzzy Sets and systems 44(1991), 303-308.
M.Caldas, G.Navalagi and R.K.Saraf, On some functions concerning fuzzy pg- closed sets, Proyecciones, 25(3)(2006), 261-271.
M.Caldas and R.K.Saraf, Preserving fuzzy sg-closed sets, Proyecciones, 20(2)(2001), 127-138.
C.L.Chang, Fuzzy topological spaces, J.Math.Anal.Appl. 24 (1968), 182-190.
George J.Klir and Bo Yuan, Fuzzy Sets and Fuzzy Logic Theory and Applications,Prentice – Hall, Inc., 2005.
K. Katsaras and D.B.Liu, Fuzzy vector spaces and fuzzy topological vector spaces, J.Math.Anal.Appl. 8 (3) (1978), 459-470.
S.Malakar, On fuzzy semi-irresolute and strongly irresolute functions, Fuzzy sets and system 45(1992), 239-244.
A.Mukherjee, Fuzzy totally continuous and totally semi-continuous functions, Fuzzy Sets and Systems 107(1999), 227-230.
M.N.Mukherjee, S.P.Sinha, Irresolute and almost open functions between fuzzy topological spaces, Fuzzy sets and system 29(1989), 381-388.
S.Murugesan and P.Thangavelu, Fuzzy p-sets and Fuzzy q-sets in Fuzzy Topological Spaces, Varahmihir J.Math. Sci. 6(1)(2006), 205-210.
S.Murugesan and P.Thangavelu, On Fuzzy p-continuity and Fuzzy q-continuity, Internat. J. Math. Sci. 6(3-4)(2007), 471-482.
P.M.Pu and Y.M.Liu, Fuzzy topology-I: neighborhood structure of a fuzzy point and Moore-Smith convergence, J.Math.Anal.Appl. 76(2)(1980), 571-599.
V.Seenivasan, G.Balasubramaniam, Fuzzy semi - irresolute functions, Mathematica Bohemica, 132(2007), 113-123.
V.Seenivasan, G.Balasubramaniam, Fuzzy pre - irresolute functions, The Journal of Fuzzy Mathematics, 15(4)(2007), 945-956.
C.K.Wong, Fuzzy topology: Product and quotient theorems, J.Math.Anal.Appl. 45 (2)(1974), 512-521.
R.H.Warren, Neighborhoods bases and continuity in fuzzy topological spaces, The Rocky Mountain Journal of Mathematic 8(3)(1978), 459-470.
T.H.Yalvac, Fuzzy sets and functions, J.Math.Anal.Appl. 126(1987), 409-423.
T.H.Yalvac, Semi-interior and semi-closure of fuzzy set, J.Math.Anal.Appl.132 (2)(1988), 356-364.
L.A. Zadeh, Fuzzy sets, Inform. and Control 8(1965), 338-353.
M.S. Bazaraa, JJ. Jarvis and H.D. Sherali, Linear Programming and Network Flows, John Wiley, New York, Second Edition, 1990.
R.E. Bellman and L.A. Zadeh, "Decision making in a fuzzy environment", Management Sci. 17 (1970) 141--164.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 International Journal of Scientific Research in Science and Technology
This work is licensed under a Creative Commons Attribution 4.0 International License.
