Abstract
In spatial data modeling, the topological notion “continuous function” can link the spatial data with the modeled real world. In this article, we study fuzzy weakly continuous function and fuzzy weakly irresolute functions from set theoretic point of view. These generalizations of continuous functions in fuzzy setting will bring new practically relevant models in image processing.
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References
Levine, N.: Generalized closed sets in topology. Rend. Circ. Mat. Palemore 19, 89–96 (1970)
Balasubramanian, G., Sundaram, P.: On some generalizations of fuzzy continuous functions. Fuzzy Sets Syst. 86, 93–100 (1997)
Mahanta, J., Das, P.K.: On fuzzy weakly-closed sets. Int. J. Math. Comput. Phys. Quant. Eng. 7(2), 61–66 (2013)
Mukherjee, M.N., Sinha, S.P.: Irresolute and almost open functions between fuzzy topological spaces. Fuzzy Sets Syst. 29, 381–388 (1989)
Pastore, J., Bouchet, A., Moler, E., Ballarin, V.: Topological Concepts applied to Digital Image Processing. J Comput. Sci. Technol. 6(2), 80–84 (2006)
Zadeh, L.A.: Fuzzy sets. Inf. Control 11, 341–356 (1965)
Chang, C.L.: Fuzzy topological spaces. J. Math. Anal. Appl. 24, 182–190 (1968)
Azad, K.K.: On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity. J. Math. Anal. Appl. 82, 14–32 (1981)
Lowen, R.: Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl. 56, 621–633 (1976)
Abd El-Hakeim, E.M.: Generalized semi-continuous mappings in fuzzy topological spaces. J. Fuzzy Math. 3, 577–589 (1999)
Abd El-Monsef, M.E., El-Deeb, S.N., Mahmoud, R.A.: β-open sets and β-continuous mappings. Bull. Fac. Sci. Assiut Univ. 12, 77–90 (1983)
Thakur, S.S., Singh, S.: On fuzzy semi-preopen sets and fuzzy semi-pre continuity. Fuzzy Sets Syst. 98, 383–391 (1998)
Warren, R.H.: Continuity of mappings on fuzzy topological spaces. Not. Am. Math. Soc. 21, 400–451 (1974)
Warren, R.H.: Neighborhoods, bases and continuity of fuzzy topological spaces. Rocky Mt. J. Math. 8, 459–470 (1978)
Paul, N.: Applications of continuous functions in topological CAD data, arXiv:1308.0256v1 [cs.CG], 1 Aug 2013
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Mahanta, J., Das, P.K. (2015). Some Generalized Fuzzy Continuous Functions. In: Das, K., Deep, K., Pant, M., Bansal, J., Nagar, A. (eds) Proceedings of Fourth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 336. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2220-0_45
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DOI: https://doi.org/10.1007/978-81-322-2220-0_45
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