Some Interval-Valued Pythagorean Fuzzy Weighted Averaging Aggregation Operators and Their Application to Multiple Attribute Decision Making

Authors

  • Khaista Rahman Department of Mathematics, Hazara University Mansehra, KPK-Pakistan.
  • Asad Ali Department of Mathematics, Hazara University Mansehra, KPK-Pakistan.
  • Muhammad Sajjad Ali Khan Department of Mathematics, Hazara University Mansehra, KPK-Pakistan.

Keywords:

IVPFWA aggregation operator, IVPFOWA aggregation operator, IVPFHWA aggregation operator, Group decision making

Abstract

The focus of our this article is to familiarize a new concept of operators including, interval-valued Pythagorean fuzzy hybrid weighted
averaging (IVPFHWA) aggregation operator, interval-valued Pythagorean fuzzy ordered weighted averaging (IVPFOWA) aggregation operator and interval-valued Pythagorean fuzzy weighted averaging (IVPFWA) aggregation operator. We also discuss some of their basic properties including idempotency, boundedness, commutativity and monotonicity. We also give some examples to develop these proposed operators. The advantage of the propose operators is that these operators provide more accurate and precise results as compare to the existing method. Finally, we apply these operators to deal with multiple attribute group decision making (MAGDM) by using the Pythagorean fuzzy numbers. 

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Published

2018-06-30

Issue

Vol. 50 No. 2 (2018)

Section

Articles

How to Cite

Some Interval-Valued Pythagorean Fuzzy Weighted Averaging Aggregation Operators and Their Application to Multiple Attribute Decision Making. (2018). Punjab University Journal of Mathematics, 50(2), 109-125. https://pujm.pu.edu.pk/index.php/pujm/article/view/133