Fuzzy almost generalized $e$-continuous mappings

Subject Areas : History and biography

A. Vadivel ¹ , B. Vijayalakshmi ²

1 - Department of Mathematics, Annamalai University, Annamalai Nagar, Chidambaram, India
2 - Department of Mathematics, Annamalai University, Annamalai Nagar, Chidambaram, India

Received: 2017-03-09 Accepted : 2017-12-15 Published : 2017-12-10

Keywords:

References:

[1] K. K. Azad, On fuzzy semi continuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl. 82 (1) (1981), 14-32.

[2] K. Balachandran, P. Sundaram, H. Maki, On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ (Math). 12 (1991), 5-13.

[3] A. S. Bin Shahna, On fuzzy strong continuity and fuzzy precontinuity, Fuzzy Sets and Systems. 44 (1991), 303-308.

[4] R. N. Bhaumik, Anjan Mukherjee, Fuzzy completely continuous mappings, Fuzzy Sets and Systems. 56 (1993), 243-246.

[5] G. Balasubramanian, P. Sundaram, On some generalizations of fuzzy continuous functions, Fuzzy Sets and Systems, 86 (1) (1997), 93-100.

[6] G. Balasubramanian, P. Sundaram, On Fuzzy β-T1 spaces and its generalizations, Bull. Cal. Math. Soc. 94 2 (6) (2002), 413-420.

[7] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190.

[8] W. Dunham, N. Levine, Further results on generalized closed sets in topology, Kyungpook Math. J. 20 (1980), 169-175.

[9] W. Dunham, A new closure operator for non-T1 topologies, Kyungpook Math. J. 22 (1982), 55-60.

[10] E. Ekici, On e-open sets, DP ∗-sets and DP ϵ∗-sets and decompositions of continuity, Arab. J. for Sci. and Engin. 33 (2A) (2008), 269-282.

[11] E. Ekici, Some generalizations of almost contra-super-continuity, Filomat, 21 (2) (2007), 31-44.

[12] E. Ekici, New forms of contra-continuity, Carpathian Journal of Mathematics. 24 (1) (2008), 37-45.

[13] E. Ekici, On e∗-open sets and (D, S)∗-sets, Mathematica Moravica. 13 (1) (2009), 29-36.

[14] E. Ekici, On a-open sets A∗-sets and decompositions of continuity and super-continuity, Annales Univ. Sci. Dudapest. Eotvos Sect. Math. 51 (2008), 39-51.

[15] S. Ganguly, S. Saha, A note on δ-continuity and δ-connected sets in fuzzy settings, Simon Stevin, 62 (2) (1988), 127-141.

[16] S. Ganguly, S. Saha, A note on compactness in fuzzy setting, Fuzzy Sets and Systems. 34 (1990), 117-124.

[17] J. K. Kohli, A. R. Prasannan, Pseudu fuzzy continuous maps and pseudo fuzzy homeomorphism, Bull. Cal. Math. Soc. 93 (2) (2001), 69-76.

[18] N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo. 19 (2) (1970), 89-96.

[19] M. N. Mukherjee, B. Ghosh, On fuzzy S-closed spaces and FSC sets, Bull. Malaysian Math. Soc. 12 (1989), 1-14.

[20] A. Mukherjee, P. K. Deb, On fuzzy almost semi -pre continuous mappings, Proc. Nat. Sem. On Rec. Dev. In Math. And its Appl. (2008), 147-154.

[21] P.-M. Pu, 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.

[22] N. Palaniappan, K. C. Rao, Regular generalized closed sets, kyungpook Math. 33 (2) (1993), 211-219.

[23] J. H. Park, B. H. Park, Fuzzy Pre-irresolute mappings, Pusan Kyongnam Math. J. 10 (1994), 303-312.

[24] P. Smets, The degree of belief in a fuzzy event, Information Sciences. 25 (1) (1981) 1-19.

[25] M. Sugeno, An introductory survey of fuzzy control, Information Sciences. 36 (1-2) (1985) 59-83.

[26] EL. M. E. Shafei, A. Zakari, Semi-generalized continuous mappings in fuzzy topological spaces, The journal of Fuzzy Math. 15 (1) (2007), 109-120.

[27] V. Seenivasan, K. Kamala, Fuzzy e-continuity and fuzzy e-open sets, Ann. Fuzzy Math. Inform. 8 (1) (2014), 141-148.

[28] V. Seenivasan, K. Kamala, Some aspects of fuzzy ~e-closed set, Ann. Fuzzy Math. Inform. 9 (6) (2015), 1019-1027.

[29] V. Seenivasan, K. Kamala, e-Compact Spaces in Fuzzy Topological Spaces, Proceedings of the International Conference on Mathematics and its Applications. (2014), 15-17.

[30] S. S. Thakur, P. K. Khare, Fuzzy semi -pre open, Fuzzy semi -pre continuous mappings, stud. Cerc. St. Ser. Mat. Univ. Bacau, 2004.

[31] N. Velico, H-closed topological spaces, Amer. Math. Soc. Transl. 78 (2) (1968), 103-118.

[32] L. A. Zadeh, Fuzzy sets, Information and Control. 8 (1965), 338-353.