New Operations on Intuitionistic Fuzzy Soft Sets based on Second Zadeh's logical Operators

Abstract

– In this paper , we have defined First Zadeh’s implication , First Zadeh’s intuitionistic fuzzy conjunction and intuitionistic fuzzy disjunction of two intuitionistic fuzzy soft sets and some their basic properties are studied with proofs and examples CR - K.T. Atanassov, ”Intuitionistic Fuzzy Set”. Fuzzy Sets and Systems, vol. 20(1), pp.87-86, 1986. CR - K.T. Atanassov and G. Gargov ,” Intuitionistic Fuzzy Logic “,C.R Academy of Bulgarian Society , Vol . 53, pp .9-12,1990 CR - K.T. Atanassov , and G.Gargov, ,” Intuitionistic Fuzzy Prolog “,Fuzzy Sets and sSystems , Vol . 4(3), pp .121-128,1993 CR - E.Szmidt and J.Kacprzyk ,” Intuitionistic Fuzzy Sets in group decision making”, Notes on IFS 2 ,pp.11-14 ,1996 CR - S.K.De, R . Biswas and A.Roy ,”An Application of Intuitionstic Fuzzy set in medical diagnosis “,Fuzzy Sets and Systems, vol .117, pp 209-213 ,2001. CR - K.T. Atanassov .”Intuitionistic Fuzzy Sets “,Springer Physica-Verlag ,Heidelberg,1999. CR - K.T. Atanassov,” On Some Intuitionstic Fuzzy Implication. Comptes Rendus de l’Academie bulgare des Sciences, Tome 59 , 2006 , No .1 , 19-24 CR - K.T. Atanassov. “On Zadeh’s intuitionistic Fuzzy Disjunction and Conjunction. Notes on Intuitionistic Fuzzy Sets, Vol .1,2011, No1,1-4. CR - K.T. Atanassov. “ Second Zadeh’s Intuitionistic Fuzzy Implication. Notes on Intuitionistic Fuzzy Sets, Vol .17,2011, No3 (in press) CR - D. A. Molodtsov, “Soft Set Theory - First Result”, Computers and Mathematics with Applications, Vol. 37, (1999),pp. 19-31. CR - P. K. Maji, R. Biswas and A.R. Roy, “Fuzzy Soft Sets”, Journal of Fuzzy Mathematics, Vol 9 , no.3, (2001), pp.-589-602. CR - B. Ahmad, and A. Kharal, “On Fuzzy Soft Sets”, Hindawi Publishing Corporation, Advances in Fuzzy Systems, volume Article ID 586507, (2009), 6 pages doi: 10.1155/2009/586507. CR - P. K. Maji, A. R. Roy and R. Biswas, “Fuzzy Soft Sets” ,Journal of Fuzzy Mathematics. 9 (3),(2001), pp.589-602. CR - T. J. Neog and D. K. Sut, “On Fuzzy Soft Complement and Related Properties”, Accepted for publication in International, Journal of Energy, Information and communications (IJEIC). CR - M. Borah, T. J. Neog and D. K. Sut,” A Study on some Operations of Fuzzy Soft Sets”, International Journal of Modern Engineering Research (IJMER), Vol.2, Issue. 2,(2012), pp. 157-168. CR - H. L. Yang, “Notes On Generalized Fuzzy Soft Sets”, Journal of Mathematical Research and Exposition, Vol 31, No. 3, (2011), pp.567-570. CR - P. Majumdar, S. K. Samant…