Group Decision-Making Problems Based on Mixed Aggregation Operations of Interval-Valued Fuzzy and Entropy Elements in Single- and Interval-Valued Fuzzy Environments

Abstract

Fuzzy sets and interval-valued fuzzy sets are two kinds of fuzzy information expression forms in real uncertain and vague environments. Their mixed multivalued information expression and operational problems are very challenging and indispensable issues in group decision-making (GDM) problems. To solve single- and interval-valued fuzzy multivalued hybrid information expression, operations, and GDM issues, this study first presents the notion of a single- and interval-valued fuzzy multivalued set/element (SIVFMS/SIVFME) with identical and/or different fuzzy values. To effectively solve operational problems for various SIVFME lengths, SIVFMS/SIVFME is converted into the interval-valued fuzzy and entropy set/element (IVFES/IVFEE) based on the mean and information entropy of SIVFME. Then, the operational relationships of IVFEEs and the expected value function and sorting rules of IVFEEs are defined. Next, the IVFEE weighted averaging and geometric operators and their mixed-weighted-averaging operation are proposed. In terms of the mixed-weighted-averaging operation and expected value function of IVFEEs, a GDM method is developed to solve multicriteria GDM problems in the environment of SIVFMSs. Finally, the proposed GDM method was utilized for a supplier selection problem in a supply chain as an actual sample to show the rationality and efficiency of SIVFMSs. Through the comparative analysis of relative decision-making methods, we found the superiority of this study in that the developed GDM method not only compensates for the defects of existing GDM methods, but also makes the GDM process more reasonable and flexible.

A Closed-Loop Method for Multiperiod Intelligent Information Processing with Cost Constraints under the Fuzzy Environment

“…At present, most decision-making algorithms adopt the open-loop mode; in other words, they fail to establish a set of feedback mechanisms [ 54 ]. Now we will demonstrate the method without feedback mechanisms to solve the above case and point out the differences between the method and the algorithm proposed in the paper.…”

Enhanced Combined Techniques for Interval-Valued Intuitionistic Fuzzy Multiple-Attribute Group Decision-Making and Applications to Quality Evaluation of Large-Scale Multi-View 3D Reconstruction

“…However, with the promotion of science and technology and social needs, many decision-making problems in reality require the participation of a large number of decision-making experts, such as commercial projects, electronic democracy, emergency decision-making, etc [45][46][47][48]. In this situation, GDM that allows large-scale decision-makers to participate in the decision-making process has received increasing attention and has been widely applied [49][50][51][52][53]. Compared with decision-making, group decision-making can fully utilize various resources, fully leverage the advantages of different knowledge structures, and improve the comprehensiveness and objectivity of the decision-making process and results [54][55][56][57][58][59].…”