Research Article

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

Number: 21 February 27, 2018
Muhammad Shakeel , Saleem Abdullah , Muhammad Shahzad
EN

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

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.

Keywords

Cubic preference relation (CPR),induced ordered weighted averaging (IOWA),group decision making

References

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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. https://izlik.org/JA44HZ45PR
AMA
1.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. https://izlik.org/JA44HZ45PR
Chicago
Shakeel, Muhammad, Saleem Abdullah, and Muhammad Shahzad. 2018. “Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making”. Journal of New Theory, nos. 21: 31-48. https://izlik.org/JA44HZ45PR.
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
[1]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, Feb. 2018, [Online]. Available: https://izlik.org/JA44HZ45PR
ISNAD
Shakeel, Muhammad - Abdullah, Saleem - Shahzad, Muhammad. “Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making”. Journal of New Theory. 21 (February 1, 2018): 31-48. https://izlik.org/JA44HZ45PR.
JAMA
1.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, Feb. 2018, pp. 31-48, https://izlik.org/JA44HZ45PR.
Vancouver
1.Muhammad Shakeel, Saleem Abdullah, Muhammad Shahzad. Some Issues on Properties of the Extended IOWA Operators in Cubic Group Decision Making. JNT [Internet]. 2018 Feb. 1;(21):31-48. Available from: https://izlik.org/JA44HZ45PR