A generalized Shapley index-based interval-valued Pythagorean fuzzy PROMETHEE method for group decision-making

Hua, Zhen; Jing, Xiaochuan

doi:10.1007/s00500-023-07842-5

Cited by 12 publications

(6 citation statements)

References 51 publications

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“…Jiang et al [37] proposed a PROMETHEE II method based on covering-based variable precision fuzzy rough sets with fuzzy logical operators. Hua and Jing [38] extended the classical PROMETHEE method by incorporating the generalized Shapley value in interval-valued Pythagorean fuzzy sets to achieve a more rigorous ranking outcome. To verify the effectiveness of this approach, a case study is conducted to evaluate sustainable suppliers.…”

Section: Mcdm Methodsmentioning

confidence: 99%

Ranking Startups Using DEMATEL-ANP-based Fuzzy PROMETHEE II

Nguyen¹,

Chu²

2023

Preprint

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Accelerators play a critical role in fostering innovative ecosystems and nurturing startups. The evaluation and selection of startups, particularly technology-based startups, for acceleration programs are essential in accelerator economy and management. Assessment of startups requires consideration of numerical and qualitative criteria such as sales, prior startup experience, demand validation, and product maturity. Startups must be ranked based on the varying importance of criteria, which can be identified as a fuzzy multi-criteria decision-making (MCDM) problem. MCDM methods have proven effective in managing complex problems. However, the use of MCDM techniques in startup selection and evaluation of criteria interrelationships from the accelerator perspective is yet to be researched. This study proposes a hybrid DEMATEL-ANP-based fuzzy PROMETHEE II model to rank startups and examine the interrelationships between factors. The final preference values are fuzzy numbers, making a fuzzy ranking method necessary for decision-making. An extension of ranking fuzzy numbers using a spread area-based relative maximizing and minimizing set is suggested to improve the flexibility of existing ranking MCDM methods. Algorithms and formulas are derived and a comparison demonstrates the merits of the proposed method. Finally, a numerical experiment is designed to address the viability of the hybrid DEMATEL-ANP-based fuzzy PROMETHEE II model.

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Section: Mcdm Methodsmentioning

confidence: 99%

Ranking Startups Using DEMATEL-ANP-based Fuzzy PROMETHEE II

Nguyen¹,

Chu²

2023

Preprint

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“…The innovation of IVPFS lies in its ability to represent membership degree, non-membership degree, neutrality degree, and abstention degree in the form of interval numbers 25 , 26 . In contrast, the interval-valued Pythagorean fuzzy set is composed of three parts: membership degree, non-membership degree, and hesitancy degree 27 , 28 . IVPFS can better describe and express the uncertainty and fuzziness of DMs in practical decision-making.…”

Section: Literature Reviewmentioning

confidence: 99%

An integrated design concept evaluation model based on interval valued picture fuzzy set and improved GRP method

Ma,

Chen,

Tan

et al. 2024

Sci Rep

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The objective of this research is to enhance the precision and efficiency of design concept assessments during the initial stages of new product creation. Design concept evaluation, which occurs at the end of the conceptual design phase, is a critical step in product development. The outcome of this evaluation significantly impacts the product's eventual success, as flawed design concepts are difficult to remedy in later stages. However, the evaluation of new product concepts is a procedure that encompasses elements of subjectivity and ambiguity. In order to deal with the problem, a novel decision-making method for choosing more logical new product concepts is introduced. Basically, the evaluation process is outlined in three main phases: the construction of evaluation index system for design concept alternatives, the calculation of weights for evaluation criteria and decision-makers, the selection of the best design concept alternatives. These stages are composed of a hybrid method based on kano model, multiplicative analytic hierarchy process (AHP) method, the entropy of IVPFS and improved grey relational projection (GRP) under interval-valued picture fuzzy set (IVPFS). The novel approach integrates the strength of interval-valued picture fuzzy number in handling vagueness, the advantage of multiplicative AHP and the merit of improved GRP method in modelling multi-criteria decision-making. In final, the effectiveness of the proposed model is validated through comparisons with other models. The potential applications of this study include but are not limited to product development, industrial design, and innovation management, providing decision-makers with a more accurate and comprehensive design concept evaluation tool.

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“…However, the model considered in the study is closest to social networks, where participants, as a rule, are united by common interests and tasks, and relationships of trust of various levels are built. This important problem of trust at various levels in social group negotiations is considered, for example, in the works of (Hua and Jing, 2023;De Vreede et al, 2013), by constructing an index of closeness (disagreement) of initial preferences of group members.…”

Section: Systematic Literature Review 21 Game Theory and Social Networkmentioning

confidence: 99%

Achieving Consensus in Groups with Low Authoritarianism of Participants in Decision Making

Maksimova,

Aronov

2024

Int. j. math. eng. manag. sci.

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The complexity of formalizing negotiation procedures leads to the search for fundamentally new approaches to building mathematical models. The theoretical study of consensus makes it possible to analyze various situations encountered by social groups participating in the group decision-making process, leaving aside specific characteristics of the groups. In the article, we built a mathematical model for a group with low authoritarianism among participants based on modeling using Markov chains. The analysis of the model showed that as the leniency of the group members increases, the time to reach consensus increases exponentially, apparently due to the negotiators' lack of desire to take responsibility for the decision. The differences between the number of negotiations in groups of participants with low authoritarianism are greater as the size of the group is smaller. This indicates a lack of coordination in such groups in the absence of a desire to take responsibility for the decision-making. It was revealed that in a dyad of two absolutely lenient participants, consensus is unattainable. For a group with low authoritarianism among participants, psychological "traps" such as false consensus or groupthink are possible, which can sometimes lead to managerial decisions with serious consequences.

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A generalized Shapley index-based interval-valued Pythagorean fuzzy PROMETHEE method for group decision-making

Cited by 12 publications

References 51 publications

Ranking Startups Using DEMATEL-ANP-based Fuzzy PROMETHEE II

Ranking Startups Using DEMATEL-ANP-based Fuzzy PROMETHEE II

An integrated design concept evaluation model based on interval valued picture fuzzy set and improved GRP method

Achieving Consensus in Groups with Low Authoritarianism of Participants in Decision Making

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