Research Article

Generalized Cubic Aggregation Operators with Application in Decision Making Problem

Number: 21 February 27, 2018
  • Muhammad Shakeel
  • Saleem Abdullah
  • Aliya Fahmi
EN

Generalized Cubic Aggregation Operators with Application in Decision Making Problem

Abstract

There are many aggregation operators and their applications have been developed up to date, but in this paper we introduced the idea of generalized aggregation operator. The main idea of this paper is to study the generalized aggregation operators with cubic numbers. In this paper, we introduced three types of cubic aggregation operators called generalized cubic weighted averaging (GCWA) operator, generalized cubic ordered weighted averaging (GCOWA) operator and generalized cubic hybrid averaging (GCHA) operator. We extend the theory of cubic numbers to generalized ordered weighted averaging operators that are characterized by interval membership and exact membership. In last section we provide an application of these aggregation operators to multiple attribute group decision making problem.

Keywords

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Muhammad Shakeel This is me

Saleem Abdullah This is me

Aliya Fahmi This is me

Publication Date

February 27, 2018

Submission Date

December 21, 2017

Acceptance Date

February 9, 2018

Published in Issue

Year 2018 Number: 21

APA
Shakeel, M., Abdullah, S., & Fahmi, A. (2018). Generalized Cubic Aggregation Operators with Application in Decision Making Problem. Journal of New Theory, 21, 1-30. https://izlik.org/JA85PJ37TG
AMA
1.Shakeel M, Abdullah S, Fahmi A. Generalized Cubic Aggregation Operators with Application in Decision Making Problem. JNT. 2018;(21):1-30. https://izlik.org/JA85PJ37TG
Chicago
Shakeel, Muhammad, Saleem Abdullah, and Aliya Fahmi. 2018. “Generalized Cubic Aggregation Operators With Application in Decision Making Problem”. Journal of New Theory, nos. 21: 1-30. https://izlik.org/JA85PJ37TG.
EndNote
Shakeel M, Abdullah S, Fahmi A (February 1, 2018) Generalized Cubic Aggregation Operators with Application in Decision Making Problem. Journal of New Theory 21 1–30.
IEEE
[1]M. Shakeel, S. Abdullah, and A. Fahmi, “Generalized Cubic Aggregation Operators with Application in Decision Making Problem”, JNT, no. 21, pp. 1–30, Feb. 2018, [Online]. Available: https://izlik.org/JA85PJ37TG
ISNAD
Shakeel, Muhammad - Abdullah, Saleem - Fahmi, Aliya. “Generalized Cubic Aggregation Operators With Application in Decision Making Problem”. Journal of New Theory. 21 (February 1, 2018): 1-30. https://izlik.org/JA85PJ37TG.
JAMA
1.Shakeel M, Abdullah S, Fahmi A. Generalized Cubic Aggregation Operators with Application in Decision Making Problem. JNT. 2018;:1–30.
MLA
Shakeel, Muhammad, et al. “Generalized Cubic Aggregation Operators With Application in Decision Making Problem”. Journal of New Theory, no. 21, Feb. 2018, pp. 1-30, https://izlik.org/JA85PJ37TG.
Vancouver
1.Muhammad Shakeel, Saleem Abdullah, Aliya Fahmi. Generalized Cubic Aggregation Operators with Application in Decision Making Problem. JNT [Internet]. 2018 Feb. 1;(21):1-30. Available from: https://izlik.org/JA85PJ37TG

 

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