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Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making

Yıl 2018, Sayı: 21, 31 - 48, 27.02.2018

Öz

The concept of this paper to study some IOWA operator to aggregating the individual cubic preference relations (CPR). This paper deal further the study of their properties of group decision problems with the help of CPR, we have proved that the collective preference relation obtained by IOWA operator, then we applied the aggregation operator of individual judgment by using IOWA operators as aggregation procedure by (RAMM) method. Additionally, the result of group Consistency IOWA (C-IOWA) operator is greater than the arithmetic mean of all the individual consistency degree. The numerical application verified the result of this paper.

Kaynakça

  • [1] Atanassov K, Intuitionistic fuzzy sets, Fuzzy Sets Syst, (20) (1986) 87-96
  • [2] De S K, Biswas R, Roy A R, Some operations on intuitionistic fuzzy sets, Fuzzy Sets Syst, (14) (2000) 477-484
  • [3] Jun Y B, SKim C, Yang K O, Cubic sets, Ann. Fuzzy Math. Inf, (4) (2012) 83-98
  • [4] Szmidt E, Kacprzy J, A consensus-reaching process under intuitionistic fuzzy preference relation, International Journal of Intelligent Systems, (18) (2003) 837-852
  • [5] Xu Z S, Intuitionistic preference relations and their application in group decision making, Information Sciences, (177) (2007) 2363-2379
  • [6] Chiclana F, Herrera F, Herrera-Viedma E, Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations, Fuzzy Sets and Systems, (97) (1998) 33-48
  • [7] Fodor J, Roubens M, Fuzzy Preference Modelling and Multicriteria Decision Support, Kluwer, Dordrecht, 1994
  • [8] Satty T L, The analytic hierarchy process, New York:,McGraw-Hill,(1980)
  • [9] Tanino T, Fuzzy preference relations in group decision making, in: J. Kacprzyk, M. Roubens (Eds.), Non-Conventional Preference Relations in Decision Making, Springer-Verlag, Berlin, (1988) 54-71
  • [10] Triantaphyllou E, Multi-Criteria Decision Making Methods, A Comparative Study, Kluwer Academic Publishers, Dordrecht, 2000.
  • [11] Dubois D, Prade H, Fuzzy Sets and Systems, Theory and Application, Academic Press, New York, 1980
  • [12] Herrera F, Herrera-Viedma E, Verdegay J L, A rational consensus model in group decision making using linguistic assessments, Fuzzy Sets and Systems, (88) (1997) 31-49
  • [13] Herrera-Viedma E, Herrera F, Chiclana F & M. Luque, Some issues on consistency of fuzzy preference relations, European Journal of Operational Research, (154) (2004) 98-109
  • [14] Yager R. R, Induced aggregation operators, Fuzzy Sets and Systems, (137) (2003) 59-69
Yıl 2018, Sayı: 21, 31 - 48, 27.02.2018

Öz

Kaynakça

  • [1] Atanassov K, Intuitionistic fuzzy sets, Fuzzy Sets Syst, (20) (1986) 87-96
  • [2] De S K, Biswas R, Roy A R, Some operations on intuitionistic fuzzy sets, Fuzzy Sets Syst, (14) (2000) 477-484
  • [3] Jun Y B, SKim C, Yang K O, Cubic sets, Ann. Fuzzy Math. Inf, (4) (2012) 83-98
  • [4] Szmidt E, Kacprzy J, A consensus-reaching process under intuitionistic fuzzy preference relation, International Journal of Intelligent Systems, (18) (2003) 837-852
  • [5] Xu Z S, Intuitionistic preference relations and their application in group decision making, Information Sciences, (177) (2007) 2363-2379
  • [6] Chiclana F, Herrera F, Herrera-Viedma E, Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations, Fuzzy Sets and Systems, (97) (1998) 33-48
  • [7] Fodor J, Roubens M, Fuzzy Preference Modelling and Multicriteria Decision Support, Kluwer, Dordrecht, 1994
  • [8] Satty T L, The analytic hierarchy process, New York:,McGraw-Hill,(1980)
  • [9] Tanino T, Fuzzy preference relations in group decision making, in: J. Kacprzyk, M. Roubens (Eds.), Non-Conventional Preference Relations in Decision Making, Springer-Verlag, Berlin, (1988) 54-71
  • [10] Triantaphyllou E, Multi-Criteria Decision Making Methods, A Comparative Study, Kluwer Academic Publishers, Dordrecht, 2000.
  • [11] Dubois D, Prade H, Fuzzy Sets and Systems, Theory and Application, Academic Press, New York, 1980
  • [12] Herrera F, Herrera-Viedma E, Verdegay J L, A rational consensus model in group decision making using linguistic assessments, Fuzzy Sets and Systems, (88) (1997) 31-49
  • [13] Herrera-Viedma E, Herrera F, Chiclana F & M. Luque, Some issues on consistency of fuzzy preference relations, European Journal of Operational Research, (154) (2004) 98-109
  • [14] Yager R. R, Induced aggregation operators, Fuzzy Sets and Systems, (137) (2003) 59-69
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Araştırma Makalesi
Yazarlar

Muhammad Shakeel Bu kişi benim

Saleem Abdullah Bu kişi benim

Muhammad Shahzad Bu kişi benim

Yayımlanma Tarihi 27 Şubat 2018
Gönderilme Tarihi 12 Aralık 2017
Yayımlandığı Sayı Yıl 2018 Sayı: 21

Kaynak Göster

APA Shakeel, M., Abdullah, S., & Shahzad, M. (2018). Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making. Journal of New Theory(21), 31-48.
AMA Shakeel M, Abdullah S, Shahzad M. Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making. JNT. Şubat 2018;(21):31-48.
Chicago Shakeel, Muhammad, Saleem Abdullah, ve Muhammad Shahzad. “Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making”. Journal of New Theory, sy. 21 (Şubat 2018): 31-48.
EndNote Shakeel M, Abdullah S, Shahzad M (01 Şubat 2018) Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making. Journal of New Theory 21 31–48.
IEEE M. Shakeel, S. Abdullah, ve M. Shahzad, “Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making”, JNT, sy. 21, ss. 31–48, Şubat 2018.
ISNAD Shakeel, Muhammad vd. “Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making”. Journal of New Theory 21 (Şubat 2018), 31-48.
JAMA Shakeel M, Abdullah S, Shahzad M. Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making. JNT. 2018;:31–48.
MLA Shakeel, Muhammad vd. “Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making”. Journal of New Theory, sy. 21, 2018, ss. 31-48.
Vancouver Shakeel M, Abdullah S, Shahzad M. Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making. JNT. 2018(21):31-48.


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