BibTex RIS Kaynak Göster

New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh's Logical Operators

Yıl 2014, Cilt: 3 Sayı: 4, 71 - 81, 01.04.2014

Öz

– 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

Kaynakça

  • K.T. Atanassov, ”Intuitionistic Fuzzy Set”. Fuzzy Sets and Systems, vol. 20(1), pp.87-86, 1986.
  • K.T. Atanassov and G. Gargov ,” Intuitionistic Fuzzy Logic “,C.R Academy of Bulgarian Society , Vol . 53, pp .9-12,1990
  • K.T. Atanassov , and G.Gargov, ,” Intuitionistic Fuzzy Prolog “,Fuzzy Sets and sSystems , Vol . 4(3), pp .121-128,1993
  • E.Szmidt and J.Kacprzyk ,” Intuitionistic Fuzzy Sets in group decision making”, Notes on IFS 2 ,pp.11-14 ,1996
  • 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.
  • K.T. Atanassov .”Intuitionistic Fuzzy Sets “,Springer Physica-Verlag ,Heidelberg,1999.
  • 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.V .Babitha and J. J. Sunil,” Generalized Intuitionistic Fuzzy Soft Sets and Its Applications “,Gen. Math. Notes, ISSN 2219-7184; Copyright © ICSRS Publication, (2011), Vol. 7, No. 2, (2011), pp.1-14.
  • M.Bashir, A.R. Salleh, and S. Alkhazaleh,” Possibility Intuitionistic Fuzzy Soft Set”, Advances in Decision Sciences Volume 2012 (2012), Article ID 404325, 24 pages, doi:10.1155/2012/404325.
Yıl 2014, Cilt: 3 Sayı: 4, 71 - 81, 01.04.2014

Öz

Kaynakça

  • K.T. Atanassov, ”Intuitionistic Fuzzy Set”. Fuzzy Sets and Systems, vol. 20(1), pp.87-86, 1986.
  • K.T. Atanassov and G. Gargov ,” Intuitionistic Fuzzy Logic “,C.R Academy of Bulgarian Society , Vol . 53, pp .9-12,1990
  • K.T. Atanassov , and G.Gargov, ,” Intuitionistic Fuzzy Prolog “,Fuzzy Sets and sSystems , Vol . 4(3), pp .121-128,1993
  • E.Szmidt and J.Kacprzyk ,” Intuitionistic Fuzzy Sets in group decision making”, Notes on IFS 2 ,pp.11-14 ,1996
  • 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.
  • K.T. Atanassov .”Intuitionistic Fuzzy Sets “,Springer Physica-Verlag ,Heidelberg,1999.
  • 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.V .Babitha and J. J. Sunil,” Generalized Intuitionistic Fuzzy Soft Sets and Its Applications “,Gen. Math. Notes, ISSN 2219-7184; Copyright © ICSRS Publication, (2011), Vol. 7, No. 2, (2011), pp.1-14.
  • M.Bashir, A.R. Salleh, and S. Alkhazaleh,” Possibility Intuitionistic Fuzzy Soft Set”, Advances in Decision Sciences Volume 2012 (2012), Article ID 404325, 24 pages, doi:10.1155/2012/404325.
Toplam 21 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Said Broumi Bu kişi benim

Pinaki Majumdar Bu kişi benim

Florentin Smarandache Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 3 Sayı: 4

Kaynak Göster

APA 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. Nisan 2014;3(4):71-81.
Chicago Broumi, Said, Pinaki Majumdar, ve Florentin Smarandache. “New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators”. Journal of New Results in Science 3, sy. 4 (Nisan 2014): 71-81.
EndNote Broumi S, Majumdar P, Smarandache F (01 Nisan 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, ve F. Smarandache, “New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators”, JNRS, c. 3, sy. 4, ss. 71–81, 2014.
ISNAD Broumi, Said vd. “New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators”. Journal of New Results in Science 3/4 (Nisan 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 vd. “New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh’s Logical Operators”. Journal of New Results in Science, c. 3, sy. 4, 2014, ss. 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.


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