Keywords:-

Keywords: : Interval valued intuitionistic fuzzy soft set, and operators, information measure, decision making technique

Article Content:-

Abstract

In this paper we introduce the operations  and  on interval valued intuitionistic fuzzy soft set and establish some properties of these operators. We also develop a decision making method based on information measure of interval valued intuitionistic fuzzy soft set.

References:-

References

Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1), 87-96, (1986).

Atanassov, K., and Gargov, G., Interval valued Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 33, 37-46, (1989).

Atanssov, K., Operations over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61, 137-142, (1994).

Atanassov, K., Intuitionistic fuzzy sets, Physica-verlag, Heidelberg, New york, 1999.

Deschriver, G., and Kerre, E.F., On the relationship between some extensions of fuzzy set theory, Fuzzy Sets and Systems, 133 (2), 227-235, (2003).

Gorzalczany, M.B., A method of inference in approximate reasoning based on interval valued fuzzy sets, Fuzzy Sets and Systems, 21 (1), 1-17, (1987).

Jiang, Y., Tang, Y., Chen, Q., Liu, H., Tang, J., Interval valued intuitionistic fuzzy soft

sets and their properties, Journal of Computers and Mathematics with Applications, 60, 906-918, (2010).

Klir, G.J., and Folger, T.A., Fuzzy sets, uncertainty and information, Prentice-Hall of India, 2005.

Kong, Z., Goa, L., Wang, L., Comment on A fuzzy soft set theoretic approach to decision making problems, Journal of Computational and Applied Mathematics, 223 (2), 540-542 (2009).

Maji, P.K., Biswas, R., Roy, A.R., Fuzzy soft sets, Journal of Fuzzy Mathematics, 9 (3), 589-602, (2001).

Maji, P.K., Biswas, R., Roy, A.R., Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, 9 (3) , 677-692, (2001).

Maji, P.K., Roy, A.R., Biswas, R., Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, 12 (3), 669-683, (2004).

Molodtsov, D., Soft sets theory-first results, Computers and Mathematics with Applications, 37, 19-31, (1999).

Roy, A.R., Maji, P.K., A fuzzy soft set theoretic approaching decision-making problems, Journal of Computational and Applied Mathematics, 203 (2), 412-418, (2007).

Yang, X.B., Lin, T.Y., Yang, J.Y., Li, Y., Yu, D., Combination of interval valued fuzzy set and soft set, Computers and Mathematics with Applications, 58 (3), 521-527, (2009).

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

Zhang, Q.S., Jiang, S., Jia, B., Luo, S., Some information measures for interval valued intuitionistic fuzzy sets, Information Sciences, 180, 5130-5145, (2010).

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Naidu, J. V., & K, B. (2023). New Operations on Fuzzy Environment. International Journal Of Mathematics And Computer Research, 11(1), 3132-3137. https://doi.org/10.47191/ijmcr/v11i1.04