Published May 31, 2018
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N-FUZZY COMPLEMENT OPERATIONS ON COMPLEX NUMBER
Authors/Creators
- 1. Professor, Department of Mathematics, PRIST University, Tanjore, Tamilnadu
- 2. Research Scholar, Department of Mathematics, PRIST University, Tanjore, Tamilnadu
Description
In this paper, we define N-fuzzy complex numbers and N-fuzzy complex sets and investigated someof itsproperties on them.
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References
- 1. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 1986, 87-96. 2. J. J. Buckley, Fuzzy complex number, Fuzzy Sets and Systems, 33, 1989, 333-345. 3. W. Blizard, The devlopment of multi set, Modern Logic, 1, 1991, 319-352. 4. A. Goguen, L-fuzzy sets, Journal of Mathematical Analysis and Application, 18, 1967, 145-174. 5. G. J. Klir and B. Yuan, Fuzzy sets and fuzzy Logic: Theory and applications, Prentice Hall, 1995. 6. D. Loeb, Sets with negative number of elements, Advances in Mathematics, 91, 1992, 67-74. 7. K. Menger, Statistical metrics, Proceedings of the National Academy of Sciences of the United States of America, 28, 1942, 535-537. 8. M. Mizumoto and K. Tanaka, Some properties of fuzzy sets of type-2, Information and Control, 31, 1976, 312-340. 9. R. D. Nicola and S. A. Smolka, Concurrency: theory and practice, ACM Computing Surveys, 28A, 4es (1996), 52. 10. L. Rejun, Y. Shaoqing, L. Baowen and F. Weihai, Fuzzy complex numbers, BUSEFAL, 25, 11. 1985, 79-86. 12. Ramot, D., Friedman, M., Langholz, G. & Kandel, A. 2003. Complex fuzzy logic. IEEE Transaction on Fuzzy Systems 11(4): 450-461. Complex Intuitionistic Fuzzy Group 4949 13. Ramot, D., Milo, R., Friedman, M., & A. Kandel, A. 2002. Complex fuzzy sets. IEEE Transaction on Fuzzy Systems 10: 171-186. 14. S. Sebastian and T. V. Ramakrishnan, Multi-fuzzy sets: An extension of fuzzy sets, Fuzzy 15. Inf. Eng., 1, 2011, 35-43. 16. A. E. Taylor, General theory of functions and integration (Blaisdell, Waltham, MA), 1965. 17. A. Syropoules, Fuzzfying P systems, The Computer Journal, 49(5), 2006, 619-628. 18. A. Wilansky, Functional Analysis (Blaisdell, New York), 1964. 19. R. R. Yager, on the theory of bags, Int. J. General Systems, 13, 1985, 23-37. 20. Zhang G., Dillon, T.,S., Cai, K.Y., Ma, J. & Lu, J. 2009. Operation properties andī¤ -equalities of complex fuzzy sets. International Journal of Approximate Reasoning 50: 1227-1249.