Punjab University Journal of Mathematics, Vol 50, No 2 (2018)

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

Khaista Rahman, Asad Ali, Muhammad Sajjad Ali Khan

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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