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

Year 2018, Issue: 21, 31 - 48, 27.02.2018

Abstract

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.

References

  • [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
Year 2018, Issue: 21, 31 - 48, 27.02.2018

Abstract

References

  • [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
There are 14 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Muhammad Shakeel This is me

Saleem Abdullah This is me

Muhammad Shahzad This is me

Publication Date February 27, 2018
Submission Date December 12, 2017
Published in Issue Year 2018 Issue: 21

Cite

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. February 2018;(21):31-48.
Chicago Shakeel, Muhammad, Saleem Abdullah, and Muhammad Shahzad. “Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making”. Journal of New Theory, no. 21 (February 2018): 31-48.
EndNote Shakeel M, Abdullah S, Shahzad M (February 1, 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, and M. Shahzad, “Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making”, JNT, no. 21, pp. 31–48, February 2018.
ISNAD Shakeel, Muhammad et al. “Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making”. Journal of New Theory 21 (February 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 et al. “Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making”. Journal of New Theory, no. 21, 2018, pp. 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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