A random intuitionistic fuzzy factor analysis model for complex multi-attribute large group decision-making in dynamic environments

Xiaohong Chen, Mengjing Wu, Chunqiao Tan () and Tao Zhang
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Xiaohong Chen: Central South University
Mengjing Wu: Central South University
Chunqiao Tan: Nanjing Audit University
Tao Zhang: Loughborough University London

Fuzzy Optimization and Decision Making, 2021, vol. 20, issue 1, No 4, 127 pages

Abstract: Abstract The challenge of complex multi-attribute large group decision-making (CMALGDM) is reflected from three perspectives: interrelated attributes, large group decision makers (DMs) and dynamic decision environments. However, there are few decision techniques that can address the three perspectives simultaneously. This paper proposes a random intuitionistic fuzzy factor analysis model, aiming to address the challenge of CMALGDM from the three perspectives. The proposed method effectively reduces the dimensionality of the original data and takes into account the underlying random environmental factors which may affect the performances of alternatives. The development of this method follows three steps. First, the random intuitionistic fuzzy variables are developed to deal with a hybrid uncertain situation where fuzziness and randomness co-exist. Second, a novel factor analysis model for random intuitionistic fuzzy variables is proposed. This model uses specific mappings or functions to define the way in which evaluations are affected by the dynamic environment vector through data learning or prior distributions. Third, multiple correlated attribute variables and DM variables are transformed into fewer independent factors by a two-step procedure using the proposed model. In addition, the objective classifications and weights for attributes and DMs are obtained from the results of orthogonal rotated factor loading. An illustrative case and detailed comparisons of decision results in different environmental conditions are demonstrated to test the feasibility and validity of the proposed method.

Keywords: Complex multi-attribute large group decision-making; Generalized intuitionistic fuzzy variable; Random intuitionistic fuzzy factor analysis; Dynamic decision environment (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10700-020-09334-9

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