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.
M. Shakeel, S. Abdullah, M. Sajjad Ali Khan, K. Rahman. (2018) Averaging Aggregation Operators with Interval Pythagorean Trapezoidal Fuzzy Numbers and Their Application to Group Decision Making, Punjab University Journal of Mathematics, Volume 50, Issue 2.
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