– 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
K.T. Atanassov,” On Some Intuitionstic Fuzzy Implication. Comptes Rendus de l’Academie bulgare des Sciences, Tome 59 , 2006 , No .1 , 19-24
K.T. Atanassov. “On Zadeh’s intuitionistic Fuzzy Disjunction and Conjunction. Notes on Intuitionistic Fuzzy Sets, Vol .1,2011, No1,1-4.
K.T. Atanassov. “ Second Zadeh’s Intuitionistic Fuzzy Implication. Notes on Intuitionistic Fuzzy Sets, Vol .17,2011, No3 (in press)
D. A. Molodtsov, “Soft Set Theory - First Result”, Computers and Mathematics with Applications, Vol. 37, (1999),pp. 19-31.
P. K. Maji, R. Biswas and A.R. Roy, “Fuzzy Soft Sets”, Journal of Fuzzy Mathematics, Vol 9 , no.3, (2001), pp.-589-602.
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.
P. K. Maji, A. R. Roy and R. Biswas, “Fuzzy Soft Sets” ,Journal of Fuzzy Mathematics. 9 (3),(2001), pp.589-602.
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).
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.
H. L. Yang, “Notes On Generalized Fuzzy Soft Sets”, Journal of Mathematical Research and Exposition, Vol 31, No. 3, (2011), pp.567-570.
P. Majumdar, S. K. Samanta, “Generalized Fuzzy Soft Sets”, Computers and Mathematics with Applications,59(2010), pp.1425-1432.
S. Alkhazaleh, A. R. Salleh, and N. Hassan,” Possibility Fuzzy Soft Set”, Advances in Decision Sciences,Vol 2011, Article ID 479756,18pages,doi:10.1155/2011/479756.
[19 ] P. K. Maji, R. Biswas, A. R. Roy, “Intuitionistic Fuzzy Soft Sets”, The journal of fuzzy mathematics 9(3)( 2001 ), pp.677-692.
K.T. Atanassov,” On Some Intuitionstic Fuzzy Implication. Comptes Rendus de l’Academie bulgare des Sciences, Tome 59 , 2006 , No .1 , 19-24
K.T. Atanassov. “On Zadeh’s intuitionistic Fuzzy Disjunction and Conjunction. Notes on Intuitionistic Fuzzy Sets, Vol .1,2011, No1,1-4.
K.T. Atanassov. “ Second Zadeh’s Intuitionistic Fuzzy Implication. Notes on Intuitionistic Fuzzy Sets, Vol .17,2011, No3 (in press)
D. A. Molodtsov, “Soft Set Theory - First Result”, Computers and Mathematics with Applications, Vol. 37, (1999),pp. 19-31.
P. K. Maji, R. Biswas and A.R. Roy, “Fuzzy Soft Sets”, Journal of Fuzzy Mathematics, Vol 9 , no.3, (2001), pp.-589-602.
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.
P. K. Maji, A. R. Roy and R. Biswas, “Fuzzy Soft Sets” ,Journal of Fuzzy Mathematics. 9 (3),(2001), pp.589-602.
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).
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.
H. L. Yang, “Notes On Generalized Fuzzy Soft Sets”, Journal of Mathematical Research and Exposition, Vol 31, No. 3, (2011), pp.567-570.
P. Majumdar, S. K. Samanta, “Generalized Fuzzy Soft Sets”, Computers and Mathematics with Applications,59(2010), pp.1425-1432.
S. Alkhazaleh, A. R. Salleh, and N. Hassan,” Possibility Fuzzy Soft Set”, Advances in Decision Sciences,Vol 2011, Article ID 479756,18pages,doi:10.1155/2011/479756.
[19 ] P. K. Maji, R. Biswas, A. R. Roy, “Intuitionistic Fuzzy Soft Sets”, The journal of fuzzy mathematics 9(3)( 2001 ), pp.677-692.
Broumi, S., Majumdar, P., & Smarandache, F. (2014). New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators. Journal of New Results in Science, 3(4), 71-81.
AMA
Broumi S, Majumdar P, Smarandache F. New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators. JNRS. April 2014;3(4):71-81.
Chicago
Broumi, Said, Pinaki Majumdar, and Florentin Smarandache. “New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators”. Journal of New Results in Science 3, no. 4 (April 2014): 71-81.
EndNote
Broumi S, Majumdar P, Smarandache F (April 1, 2014) New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators. Journal of New Results in Science 3 4 71–81.
IEEE
S. Broumi, P. Majumdar, and F. Smarandache, “New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators”, JNRS, vol. 3, no. 4, pp. 71–81, 2014.
ISNAD
Broumi, Said et al. “New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators”. Journal of New Results in Science 3/4 (April 2014), 71-81.
JAMA
Broumi S, Majumdar P, Smarandache F. New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators. JNRS. 2014;3:71–81.
MLA
Broumi, Said et al. “New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators”. Journal of New Results in Science, vol. 3, no. 4, 2014, pp. 71-81.
Vancouver
Broumi S, Majumdar P, Smarandache F. New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators. JNRS. 2014;3(4):71-8.