Some fuzzy functions in fuzzy bitopological spaces and separation axioms in completely induced fuzzy bitopological spaces REFERENCES

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1 REFERENCES [1] Azad, K. K., On fuzzy semi continuity,fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl. 82 (1981), [2] Ajmal, N and Tyagi, B. k., On fuzzy almost continuous functions, Fuzzy Sets and Systems. 41 (1991), [3] Abd El-Hakeim, K. M., Fuzzy weak totally semi-continuous and fuzzy totally precontinuous mapping, Fuzzy Sets and Systems. 119 (2001), [4] Balsubramanian, G. and P. Sundram, On some generalizations of fuzzy continuous functions, Fuzzy Sets and Systems. 86 (1997), [5] Bhaumik, R. N. and Mukherjee, A., Fuzzy semi pre-irresolute functions, J. Tri. Math. Soc. 1 (1999), [6] Bin Shahna A. S., On fuzzy strong semi continuity and fuzzy pre-continuity, Fuzzy Sets and Systems. 44 (1991), [7] Bhaumik, R. N. and Mukherjee. A., Fuzzy completely continuous mappings, Fuzzy Sets and Systems. 56 (1993), [8] Bhaumik, R. N. and Mukherjee, A., Completely induced fuzzy topological spaces., Fuzzy Sets and Systems. 47 (1992), [9] Bhaumik, R. N. and Mukherjee, A., Completely lower semi-continuous function, Math. Education. 26 (1992), [10] Bullul, A., On connections between the connectivity properties of(x, ω(τ)) and (X, τ), Fuzzy Sets and Systems. 15 (1985), [11] Concilio, A. Di. and Gerla, G., Almost compactness in fuzzy topological spaces, Fuzzy Sets and Systems. 13 (1984), [12] Choudhuri, A. K. and P. Das, Some results on fuzzy topology on fuzzy sets, Fuzzy Sets and Systems. 56 (1993),

2 [13] Chakraborti, M. K. and Ahsanulla, Fuzzy topology on fuzzy sets and tolerance topology, Fuzzy Sets and Systems. 45 (1992), [14] Chang, C. L., Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), [15] Dunundji,James.; Topology(1975), Printice Hall Of India Private Limited.New Delhi [16] Fora, Ali Ahmed, Seperation Axioms for fuzzy spaces, Fuzzy Sets & Systems. 33 (1989), [17] Ghosh B., Semi- continuous and semi-closed mappings and semi-connectedness in fuzzy setting, Fuzzy Sets and Systems. 35 (1990), [18] Hanafy, I. M., Fuzzy open sets and fuzzy continuity, Journal of Fuzzy Math. 7(2), (1999), [19] Hanafy, I. M., A class of strong forms of fuzzy complete continuity, Fuzzy Sets and Systems. 90 (1997), [20] Hanafy, I. M., Mahmoud, F. S. & Khalaf, M. M., Fuzzy Bitopology on fuzzy sets: Fuzzy pairwise continuity and fuzzy pairwise -retract, Journal of Fuzzy Math. 14 (4), (2006), [21] Hyder, Es. A., Almost compactness and near compectness in fuzzytopological spaces. Fuzzy Sets and Systems.22 (1987), [22] Hutton, B. and Reilly,I., Seperation axioms in fuzzy topological spaces, Fuzzy Sets and Systems. 3 (1980), [23] Imm, Y. B., Fuzzy pairwise -irresoluteness. International J. Fuzzy and Intelligent Systems, 7 (2007), [24] Imm,Y. B., Fuzzy --open sets and -rresolute open mappings, Far East J. Math.Sci. 21 (2006), [25] Imm, Y. B., Lee, E. P. and Park, S. W., Fuzzy pairwise -continuous mappings, Journal of Fuzzy Math. 10 (2002),

3 [26] Imm, Y. B., Lee, E. P. and Park, S. W., Fuzzy -irresolute mappings on fuzzy topological space, J. Fuzzy Math. 14 (2006), [27] Imm Y. B., Fuzzy pairwise pre-irresolute mappings, Far East J. Math. Sci. 13(1) (2004), [28] Kandil, A., Nouh, A. A. and El-Sheikh, S. A., On, Fuzzy Sets and Systems.74 (1995), [29] Kandil, A., Biproximities and, Simon Stevin.63(1989), [30] Kelly,J.C., Bitopological spaces, Proc. London Math. Soc. 13(3) (1963), [31] Lowen, R., Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl. 56 (1976), [32] Lee,H.S.,LeeJ.S.andImm,Y.B.,Fuzzypairwise irresolutehomeomorphism,j.appl.math.and informatics.26 (2008), [33] Mahmoud, F. S. Fath, M. A. Alla, and Khalaf, M. M., Fuzzy open sets and fuzzy continuity in bifuzzy topological space, Appl.Math. & Computation.153 (2004), [34] Malakar, S., On fuzzy semi-irresolute and strongly irresolute functions, Fuzzy Sets and Systems. 45 (1992), [35] Malviya, R., On certain concepts in fuzzy topology (Ph. D. Desertation R.D.V.V.), Jabalpur MP., India (1997). [36] Maki, H., Fukutaka, T., Kojima, M. and Harada, H., Generalized closed sets in fuzzy topological Spaces, Meeting on Topo.Space Appl. (1998), [37] Maki, H., Fukutaka, T., Kojima, M. and Harada, H., Degrees and fuzzy generalized closed sets, Journal of Fuzzy Math. 9 (2001), [38] Mukherjee, A., On fuzzy completely semi-irresolute function. J. Tri. Math. Soc. 2 (2000), [39] Mukherjee, A., On fuzzy almost completely semi continuous function. Indian J. Pure Appl. Math. 31 (5), (2000),

4 [40] Mukherjee, A.,Completely induced bifuzzy topological spaces, Indian J. Pure Appl. Math. 33 (6), (2002), [41] Mukherjee, A., Pre-induced Fuzzy Supra- Topological Spaces and Corresponding P- initial spaces, J. Tri Math. Soc. 3 (2001), [42] Mukherjee, A., Fuzzy almost semi-continuous and almost generalized semi-continuous mappings, Acta Ciencia Indica.V-XXXII No.4 (2006), [43] Mukherjee, A. and De, D., Fuzzy almost pre-continuous and almost pre- generalized continuous mappings, Acta Ciiencia Indica. XXXIV (2008), [44] Mukherjee, M. N. and Ghosh, B., Some stronger forms of fuzzy continuous and fuzzy open mappings on fuzzy topological space, Fuzzy Sets and Systems. 32 (1990), [45] Mukherjee, M. N., Irresolute and almost open functions between fuzzy topological spaces, Fuzzy Sets and Systems. 29 (1989), [46] Mukherjee, M. N. and Sinha, S. P., On some near fuzzy continuous function bewtween fuzzy topological spaces, Fuzzy Sets and Systems. 34 (1990), [47] Nanda, S., On fuzzy topological spaces, Fuzzy Sets and Systems. 19 (1986), [48] Nanda, S., On some near-fuzzy continuous functions between fuzzy topological spaces, Fuzzy Sets and Systems. 34 (1990), [49] Ozbakir, O. B., On generalized fuzzy strongly semi-closed sets in fuzzy topological spaces., IJMMS 30:11, (2002), [50] Park J. H., On fuzzy pairwise semi precontinuity, Fuzzy Sets and Systems. 93 (1998), [51] Park K. D. and Im, Y. B., Fuzzy pairwise pre-continuous mapping, J. Nat. Sci., RINS, Dongguk Unv. 3 (1998), [52] Park J. H. and Bae Hun Park, Fuzzy pre-irresolute mappings, Pusan Kyongnam Math. J. 10 (1994),

5 [53] Pu, Poa-Ming and Liu, Ying-Ming., Fuzzy topology I : neighbourhood stracture of a fuzzy point and Moore Smith convergence, J. Math. Anal. Appl. 76 (1980), [54] Pu, P. M. and Liu, Y. M., Fuzzy topology II. Product and quotient spaces, J. Math. Anal. Appl. 77 (1980), [55] Park, Jin Han., On fuzzy pairwise semi pre contiuity., Fuzzy Sets and Systems. 93 (1998), [56] Park, J. H. and Lee, B. Y., Fuzzy semi preopen sets and fuzzy semi pre continuous mappings in, Fuzzy Sets and Systems. 67 (1994), [57] Prasad, R.,Thakur, S. S. and Saraf, R. K., Fuzzy -irresolute mappings, J. Math. Anal. Appl. 2 (1994), [58] Saha, S., Fuzzy -continuous mappings, J. Math. Anal. Appl. 126 (1987), [59] Sampath Kumar S., On fuzzy pairwise - continuity and fuzzy pairwise pre-continuity, Fuzzy Sets and Systems. 62 (1994), [60] Sampath Kumar S., Some near fuzzy pairwise continuous mappings between fuzzy bitopological spaces, Fuzzy Sets and Systems. 109 (2000), [61] Sampath Kumar S., Semi open sets, semi-continuity and semi-open mappings infuzzy bitopological spaces, Fuzzy Sets and Systems. 64 (1994), [62] Safya A. S. Abu, Ford A. A. and Waren, M. W., Fuzzy separationaxioms and fuzzy continuity in, Fuzzy Sets and Systems. 62 (1994), [63] Safya A. S. Abu, Ford A. A. and Waren, M. W., Compactness and weakly induced bifuzzy bitopological spaces, Fuzzy Sets and Systems. 62 (1994), [64] Shafei, EI. M. E. and Zakari A., Semi-generalized continuous mappings in fuzzy topological spaces, Journal of Fuzzy Math. 15(1), (2007), [65] Saraf, R. K., Caldas, M. and Khanna, M. : Fsg-closed maps and Fgs- closed maps, J. Tri. Math. Soc. 2 (2000),

6 [66] Saraf, R. K. and Menna Khanna, Fuzzy Generalized Semi-Pre closed Sets, J. Tri. Math. Soc. 3 (2001), [67] Singal, M. K. and Prakash, N., Fuzzy pre open sets and fuzzy pre seperation axioms, Fuzzy Sets and Systems.44 (1991), [68] Singal, M. K. and Rajvanshi, N., Fuzzy -sets and -continuous mappings, Fuzzy Sets and Systems. 48 (1992), [69] Thakur, S. S. and Singh, Surendra., On fuzzy semi-pre compactness, J. Tri. Math. Soc. V-I, (1999), [70] Thakur, S.S. and Malviya., Semi open sets and semi continuity in fuzzy bitopological spaces, Fuzzy Sets and Systems.79 (1996), [71] Weiss, M. D., Fixed points and local properties of fuzzy topology, J. Math. Anal. Appl. 50 (1995), [72] Wong, C. K., Fuzzy topology,product and quotient theorems, J. Math. Anal. Appl., 46 (1974), [73] Wong, C. K., Fuzzy topology, Fuzzy sets and their applications. J. Math. Anal. Appl., 45, (1974), [74] Wong C. K., Fuzzy topology, product and quotient theorems, J.Math. Anal. Appl. 45 (1974), [75] Wong C. K., Fuzzy point and local properties of fuzzy topology, J. Math. Anal. Appl. 40 (1974), [76] Yalvac, T. H., Semi-interior and semi-closure of fuzzy sets, J. Math. Anal. Appl. 32 (1998), [77] Yalvac, T. H., Fuzzy sets and function on fuzzy spaces, J. Math. Anal. Appl. 126 (1987), [78] Zadeh, L. A., Fuzzy Sets, Inform and Control. 8 (1965), [79] Zimmermann, H. J., Fuzzy Set Theory and its Applications (1996). Kluwer Academic Publishers, Dordrecht, The Netherlands. ======================== 83