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Interval-valued intuitionistic fuzzy ordered precise weighted aggregation operator and its application in group decision making

    Wei Zhou Affiliation
    ; Jian Min He Affiliation

Abstract

An important research topic related to the theory and application of the interval-valued intuitionistic fuzzy weighted aggregation operators is how to determine their associated weights. In this paper, we propose a precise weight-determined (PWD) method of the monotonicity and scale-invariance, just based on the new score and accuracy functions of interval-valued intuitionistic fuzzy number (IIFN). Since the monotonicity and scale-invariance, the PWD method may be a precise and objective approach to calculate the weights of IIFN and interval-valued intuitionistic fuzzy aggregation operator, and a more suitable approach to distinguish different decision makers (DMs) and experts in group decision making. Based on the PWD method, we develop two new interval-valued intuitionistic fuzzy aggregation operators, i.e. interval-valued intuitionistic fuzzy ordered precise weighted averaging (IIFOPWA) operator and interval-valued intuitionistic fuzzy ordered precise weighted geometric (IIFOPWG) operator, and study their desirable properties in detail. Finally, we provide an illustrative example.


First published online: 24 Jan 2014

Keyword : multi-attribute group decision making, interval-valued intuitionistic fuzzy number, precise weight-determined method, monotonicity, scale-invariance

How to Cite
Zhou, W., & He, J. M. (2014). Interval-valued intuitionistic fuzzy ordered precise weighted aggregation operator and its application in group decision making. Technological and Economic Development of Economy, 20(4), 648-672. https://doi.org/10.3846/20294913.2013.869516
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Dec 16, 2014
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