BibTex RIS Kaynak Göster

Hesitant fuzzy soft sets

Yıl 2013, Cilt: 2 Sayı: 3, 0 - 0, 01.03.2013

Öz

– A new hybrid structure- hesitant fuzzy soft set, involving soft set is introduced. Soft set is relatively a new approach initiated by Molodtsov in 1999 to deal impreciseness and uncertainty. Hesitant fuzzy set is a generalization of fuzzy set whose membership is a subset of [0,1]. This paper is an endeavor to establish a link between soft sets and hesitant fuzzy sets. Basic operation such as intersection, union, compliment is defined and De Morgan’s law is also proved. It also discusses its use in decision making problem

Kaynakça

  • Z. Xiao, K. Gong, Y. Zou, A combined forecasting approach based on fuzzy soft sets, Journal of Computational and Applied Mathematics 228 (1) (2009) 326–333.
  • S.J. Kalayathankal, G.S. Singh, A fuzzy soft flood alarm model, Mathematics and Computers in Simulation 80 (5) (2010) 887–893.
  • L.A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 378–352.
  • Atanassov K Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20(1986) 87–96
  • D. Dubois, H. Prade, Fuzzy sets and systems: theory and applications. Academic Press, New York, 1980.
  • L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I. Information Science 8 (1975) 199–249.
  • V. Torra, Y. Narukawa, On hesitant fuzzy sets and decision, The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, (2009) 1378–1382.
  • V. Torra, Hesitant fuzzy sets. International Journal of Intelligent Systems 25 (2010) 529– 539
  • X. Yang, D. Yu, J. Yang, and C. Wu, Generalization of Soft Set Theory: From Crisp to Fuzzy Case, Fuzzy Information and Engineering (ICFIE), 40(2007), 345–354.
  • F. Feng , C. Li, B. Davvaz, M. I. Ali, Soft sets combined with fuzzy sets and rough sets: a tentative approach, Soft Computing, Springer, 14 (2010) 899–911.
  • M. I. Ali, A note on soft sets, rough soft sets and fuzzy soft sets, A note on soft sets, rough soft sets and fuzzy soft sets, Applied Soft Computing Journal (2011).
  • T. Herawan, M. Mustafa, On Multi-soft Sets Construction in Information Systems. In: Huang, D.-S., Jo, K.-H., Lee, H.-H., Kang, H.-J., Bevilacqua, V. (eds.) ICIC 2009. LNCS (LNAI), Springer, Heidelberg 5755 (2009) 101–110.
  • Y. Jiang, Y. Tang, Q. Chen, H. Liu, J. Tang, Interval-valued intuitionistic fuzzy soft sets and their properties, Computers & Mathematics with Applications 60 (3) (2010) 906–918.
  • H. Aktas, N. Cagman, “Soft sets and soft groups”, Information science, 177 (2007) 2726- 2735.
  • F. Feng, Y.B. Jun, X.Z. Zhao, “Soft semirings”, Computers and Mathematics with Applications.56 (2008) 2621-2628.
  • Qiu-Mei Sun, Zi-Long Zhang, Jing Liu, “Soft Sets and Soft Modules ”Rough Sets and Knowledge Technology,Vol 5009 (2008) 403-409.
  • M. Shabir, M Naz, On soft toplogical spaces, Computers and mathematics with application 61, 7 (2011) 1786-1799.
  • N. Çağman, S. Karataş and S. Enginoğlu, Soft Topology, Computers and mathematics with application (2011),62 (2011) 351-358.
  • B Tanay, M B Kandemir, Toplogical structure of fuzzy soft sets, Computers and Mathematics with application,61 (2011) 2952-2957.
  • K.V. Babitha, J.J. Sunil, Soft set relations and functions, Computers and Mathematics with application 60 (2010) 1840-1849.
  • Hai Long Yang, Zhi Lian Guo, Kernels and closures of soft set relations, and soft set relation mappings, Computers and mathematics with application 61 (2011) 651-652.
  • K.V. Babitha, J.J. Sunil, Transitive closures and orderings on Soft sets, Computers and mathematics with application, 10.1016/j.camwa.2011.07.010.
  • M. M. Xia, Z. S. Xu, Hesitant fuzzy information aggregation in decision making. Int J. Approx Reason 52 (2011) 395–407.
Yıl 2013, Cilt: 2 Sayı: 3, 0 - 0, 01.03.2013

Öz

Kaynakça

  • Z. Xiao, K. Gong, Y. Zou, A combined forecasting approach based on fuzzy soft sets, Journal of Computational and Applied Mathematics 228 (1) (2009) 326–333.
  • S.J. Kalayathankal, G.S. Singh, A fuzzy soft flood alarm model, Mathematics and Computers in Simulation 80 (5) (2010) 887–893.
  • L.A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 378–352.
  • Atanassov K Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20(1986) 87–96
  • D. Dubois, H. Prade, Fuzzy sets and systems: theory and applications. Academic Press, New York, 1980.
  • L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I. Information Science 8 (1975) 199–249.
  • V. Torra, Y. Narukawa, On hesitant fuzzy sets and decision, The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, (2009) 1378–1382.
  • V. Torra, Hesitant fuzzy sets. International Journal of Intelligent Systems 25 (2010) 529– 539
  • X. Yang, D. Yu, J. Yang, and C. Wu, Generalization of Soft Set Theory: From Crisp to Fuzzy Case, Fuzzy Information and Engineering (ICFIE), 40(2007), 345–354.
  • F. Feng , C. Li, B. Davvaz, M. I. Ali, Soft sets combined with fuzzy sets and rough sets: a tentative approach, Soft Computing, Springer, 14 (2010) 899–911.
  • M. I. Ali, A note on soft sets, rough soft sets and fuzzy soft sets, A note on soft sets, rough soft sets and fuzzy soft sets, Applied Soft Computing Journal (2011).
  • T. Herawan, M. Mustafa, On Multi-soft Sets Construction in Information Systems. In: Huang, D.-S., Jo, K.-H., Lee, H.-H., Kang, H.-J., Bevilacqua, V. (eds.) ICIC 2009. LNCS (LNAI), Springer, Heidelberg 5755 (2009) 101–110.
  • Y. Jiang, Y. Tang, Q. Chen, H. Liu, J. Tang, Interval-valued intuitionistic fuzzy soft sets and their properties, Computers & Mathematics with Applications 60 (3) (2010) 906–918.
  • H. Aktas, N. Cagman, “Soft sets and soft groups”, Information science, 177 (2007) 2726- 2735.
  • F. Feng, Y.B. Jun, X.Z. Zhao, “Soft semirings”, Computers and Mathematics with Applications.56 (2008) 2621-2628.
  • Qiu-Mei Sun, Zi-Long Zhang, Jing Liu, “Soft Sets and Soft Modules ”Rough Sets and Knowledge Technology,Vol 5009 (2008) 403-409.
  • M. Shabir, M Naz, On soft toplogical spaces, Computers and mathematics with application 61, 7 (2011) 1786-1799.
  • N. Çağman, S. Karataş and S. Enginoğlu, Soft Topology, Computers and mathematics with application (2011),62 (2011) 351-358.
  • B Tanay, M B Kandemir, Toplogical structure of fuzzy soft sets, Computers and Mathematics with application,61 (2011) 2952-2957.
  • K.V. Babitha, J.J. Sunil, Soft set relations and functions, Computers and Mathematics with application 60 (2010) 1840-1849.
  • Hai Long Yang, Zhi Lian Guo, Kernels and closures of soft set relations, and soft set relation mappings, Computers and mathematics with application 61 (2011) 651-652.
  • K.V. Babitha, J.J. Sunil, Transitive closures and orderings on Soft sets, Computers and mathematics with application, 10.1016/j.camwa.2011.07.010.
  • M. M. Xia, Z. S. Xu, Hesitant fuzzy information aggregation in decision making. Int J. Approx Reason 52 (2011) 395–407.
Toplam 23 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

K. V. Babitha Bu kişi benim

Sunil Jacob John Bu kişi benim

Yayımlanma Tarihi 1 Mart 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 2 Sayı: 3

Kaynak Göster

APA Babitha, K. V., & John, S. J. (2013). Hesitant fuzzy soft sets. Journal of New Results in Science, 2(3).
AMA Babitha KV, John SJ. Hesitant fuzzy soft sets. JNRS. Mart 2013;2(3).
Chicago Babitha, K. V., ve Sunil Jacob John. “Hesitant Fuzzy Soft Sets”. Journal of New Results in Science 2, sy. 3 (Mart 2013).
EndNote Babitha KV, John SJ (01 Mart 2013) Hesitant fuzzy soft sets. Journal of New Results in Science 2 3
IEEE K. V. Babitha ve S. J. John, “Hesitant fuzzy soft sets”, JNRS, c. 2, sy. 3, 2013.
ISNAD Babitha, K. V. - John, Sunil Jacob. “Hesitant Fuzzy Soft Sets”. Journal of New Results in Science 2/3 (Mart 2013).
JAMA Babitha KV, John SJ. Hesitant fuzzy soft sets. JNRS. 2013;2.
MLA Babitha, K. V. ve Sunil Jacob John. “Hesitant Fuzzy Soft Sets”. Journal of New Results in Science, c. 2, sy. 3, 2013.
Vancouver Babitha KV, John SJ. Hesitant fuzzy soft sets. JNRS. 2013;2(3).


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