Averaging Aggregation Operators with Interval Pythagorean Trapezoidal Fuzzy Numbers and Their Application to Group Decision Making

Authors

  • M. Shakeel Department of Mathematics, Hazara University Mansehra, Pakistan.
  • S. Abdullah Department of Mathematics, Abdul Wali Khan University Mandan, Pakistan.
  • M. Sajjad Ali Khan Department of Mathematics, Hazara University Mansehra, Pakistan.
  • K. Rahman Department of Mathematics, Hazara University Mansehra, Pakistan.

Keywords:

Pythagorean fuzzy numbers, aggregation operators, interval-valued Pythagorean fuzzy numbers and group decision making problem

Abstract

Pythagorean fuzzy number is a new tool for uncertainty and vagueness. It is a generalization of fuzzy numbers and intuitionistic fuzzy
numbers. The paper deals with interval-valued Pythagorean trapezoidal fuzzy numbers. In this paper we introduce interval-valued Pythagorean trapezoidal fuzzy numbers and some operation on IVPTFN. We also define different types of operators for aggregating interval-valued Pythagorean trapezoidal fuzzy numbers. We present interval-valued Pythagorean trapezoidal fuzzy weighted averaging (IVPTFWA) operator, interval-valued Pythagorean trapezoidal fuzzy ordered weighted averaging (IVPTFOWA) operator and interval valued Pythagorean trapezoidal fuzzy hybrid averaging (IVPTFHA) operator. Finally we develope a general algorithm for group decision making problem. 

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Published

2018-06-30

Issue

Vol. 50 No. 2 (2018)

Section

Articles

License

Copyright (c) 2018 M. Shakeel, S. Abdullah, M. Sajjad Ali Khan, K. Rahman

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Averaging Aggregation Operators with Interval Pythagorean Trapezoidal Fuzzy Numbers and Their Application to Group Decision Making. (2018). Punjab University Journal of Mathematics, 50(2), 141-164. https://pujm.pu.edu.pk/index.php/pujm/article/view/135