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Z-number expresses the membership degrees of an element to a set by several possibilities and their reliability. Therefore, it has a great advantage in dealing with fuzziness and uncertainty especially for multi-criteria group decision-making (MCGDM). In this paper, a novel approach, named HFLT-Z-h-ELECTRE II which incorporates Z-number into ELECTR...
Citations
... (2) A new dice distance measure for SvNCNSs is proposed, which enriches the theory of SvNCNSs and provides thoughts for calculating the differences between SvNCNSs; It is worth attention that this paper only explores the dynamic SvNCNSs MAGDM problem based on EDAS and consensus models, and in the future, we can also explore the group consensus models about different fuzzy forms such as single-valued neutrosophic sets [54], Z-numbers [57], and so on [42,75]; second, due to the complexity of the decision-making information and the diversity of the decision-making attributes, in the future, we consider to extend the CPT-EDAS model in the interval number, fuzzy numbers, incomplete information, and other data forms for expansion. Finally, the model can also be applied to other multi-attribute decision-making problems, such as (green supplier selection [60], risk evaluation problem [36], supply chain management [40], etc. [6,46]), to solve more realistic application problems. ...
Purpose –In this paper, we investigate the multi-attribute group decision-making (MAGDM) method for single-valued neutrosophic credibility numbers (SvNCNs), consider a consensus model for group decision-making (GDM) in SvNCN environments, and construct a decision-support system for the evaluation of suppliers of data analysis tools (DAT).
Design/methodology/approach –First, the concept of SvNCNs and the related theory are given, and several dice distance measures for SvNCNs are proposed. Secondly, a consensus model in the SvNCN environment is proposed. At the same time, the subjective and objective weights of attributes are determined by using the AHP method and MEREC method, and the combined weights are calculated based on the Uninorm operator. Then, considering the “limited rationality” behavior of decision makers (DMs), the CPT is integrated into the EDAS method. Finally, an example analysis and comparative analysis are conducted to verify the effectiveness and feasibility of the technique.
Findings –This method enriches the MAGDM theory of SvNCNs by considering group consensus, CPT, and the Uninorm operator to determine the combination weights.
Research limitations/implications –This study contributes to the literature on fuzzy set theory and MAGDM methods, enriching the theoretical and application scenarios of SvNCNs.
Practical implications –This research informs decision information for decision theory for SvNCNs, which applies to several domains, such as MAGDM, large-scale group decision-making, mathematical statistics, and artificial intelligence.
Originality/value –This technique combined the consensus model, CPT-EDAS, and Uninorm operator to enrich the decision theory of SvNCNs.
Green technology innovation (GTI) capability plays an important role in realizing the sustainable development of intelligent manufacturing (IM) industry. Extensive research has addressed the evaluation of GTI capability. However, existing evaluation models primarily include either qualitative or quantitative indexes. Rarely do they integrate both types of indexes simultaneously. To address this gap, we establish two types of GTI capability evaluation index system from the perspective of core competitiveness. Then, we propose the concept of the interval linguistic
$Z$
-number vector (ILZNV) based on the
$Z$
-number to represent
$n$
-dimensional uncertain information of GTI capability evaluation. Subsequently, theories regarding ILZNVs, including normalization, operational rules, comparison method, and distance measure, are discussed. We also propose a method for unifying both types of index data by converting numerical values to ILZNVs. After determining decision makers' combined weights and attribute weights, a multiattribute group decision-making model is developed using operators and the MULTIMOORA method of ILZNVs. The model is then applied to evaluate the GTI capability of IM enterprises. Comparative analysis demonstrates the effectiveness and superiority of the proposed method. Finally, we present several managerial and theoretical implications.
