Title: An induced generalised intuitionistic fuzzy Choquet Shapley operator for multi-attribute decision making

Authors: Fan-Yong Meng; Quanmin Zhu

Addresses: School of Management, Qingdao Technological University, Qingdao 266520, China ' Department of Engineering Design and Mathematics, University of the West of England, Bristol BS16 1QY, UK

Abstract: In this study, an induced generalised intuitionistic fuzzy Choquet Shapley (IG-IFCS) operator is developed by means of Choquet integral and generalised Shapley function. In technique, this operator does not only globally cover the significance of elements or their ordered positions, but also overall reflect the correlations among them or their ordered positions. Meantime, the associated desirable properties are studied to provide assurance in applications. As a series of developments, a model for the optimal fuzzy measure on attribute set based on technique for order performance by similarity to ideal solution (TOPSIS) method and the Shapley function is established. Consequently, a procedure for multi-attribute decision making under intuitionistic fuzzy environment is developed to provide a comprehensive and applicable framework. Finally, a numerical example is selected to illustrate the effectiveness of the proposed procedure.

Keywords: multi-attribute decision making; MADM; generalised Shapley function; Choquet integral; TOPSIS; modelling; fuzzy measures; fuzzy logic; intuitionistic fuzzy environment.

DOI: 10.1504/IJMIC.2013.057572

International Journal of Modelling, Identification and Control, 2013 Vol.20 No.4, pp.387 - 397

Available online: 13 Nov 2013 *

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