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. 

Downloads

Download data is not yet available.

Downloads

Published

2018-06-30

Issue

Vol. 50 No. 2 (2018)

Section

Articles

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