A preference degree for intuitionistic fuzzy values and application to multi-attribute group decision making

Wan, Shouhong; Wang, Feng; Dong, Jiuying

doi:10.1016/j.ins.2016.07.013

Cited by 37 publications

(14 citation statements)

References 52 publications

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“…This gives a geometric interpretation of SCT as illustrated by Figure 2. By Equation (12) and the definition of centroid transformations, we obtain that Finally, Definition 14 and Equation 13, we obtain that…”

Section: Limits Of Simple Centroid Transformations Sequencesmentioning

confidence: 99%

“…As a result, the membership and non-membership degrees of each element are combined together to form an ordered pair, which was initially referred to as an intuitionistic fuzzy value (IFV) by Xu and Yager in [5][6][7]. This mathematical representation has proved to be effective and efficient in developing the theory of intuitionistic fuzzy sets and facilitating the application of intuitionistic fuzzy sets in information fusion and decision making [8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

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Centroid Transformations of Intuitionistic Fuzzy Values Based on Aggregation Operators

et al. 2018

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Atanassov’s intuitionistic fuzzy sets extend the notion of fuzzy sets. In addition to Zadeh’s membership function, a non-membership function is also considered. Intuitionistic fuzzy values play a crucial role in both theoretical and practical progress of intuitionistic fuzzy sets. This study introduces and explores various types of centroid transformations of intuitionistic fuzzy values. First, we present some new concepts for intuitionistic fuzzy values, including upper determinations, lower determinations, spectrum triangles, simple intuitionistic fuzzy averaging operators and simply weighted intuitionistic fuzzy averaging operators. With the aid of these notions, we construct centroid transformations, weighted centroid transformations, simple centroid transformations and simply weighted centroid transformations. We provide some basic characterizations regarding various types of centroid transformations, and show their difference using an illustrating example. Finally, we focus on simple centroid transformations and investigate the limit properties of simple centroid transformation sequences. Among other facts, we show that a simple centroid transformation sequence converges to the simple intuitionistic fuzzy average of the lower and upper determinations of the first intuitionistic fuzzy value in the sequence.

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Section: Limits Of Simple Centroid Transformations Sequencesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Centroid Transformations of Intuitionistic Fuzzy Values Based on Aggregation Operators

et al. 2018

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“…The discordance index shows that alternative a is generally superior to alternative b, but the decision-makers tend to choose alternative b by giving a very high score to b. In this study, ELECTRE III is used to rank alternatives [43].…”

Section: Multi-criteria Decision Making: Fuzzy Ahp-electre IIImentioning

confidence: 99%

Study of the Competitiveness of Quanzhou Port on the Belt and Road in China Based on a Fuzzy-AHP and ELECTRE III Model

Gao

Dang

et al. 2018

Sustainability

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Abstract:With the establishment of the Belt and Road national strategy, Quanzhou Port is a significant development opportunity. Quanzhou Port is the origin of the 21st century Maritime Silk Road and part of the Belt and Road, but as a pioneer project of the Maritime Silk Road and the main port in the Belt and Road strategy, its development has encountered some challenges and problems. Hence, this paper aims to evaluate the competitiveness of Quanzhou Port based on the criteria selected by experts and corresponding improvement suggestions are put forward for its weaknesses. Using fuzzy-AHP and ELECTRE III, port competitiveness is evaluated according to the total weights obtained based on the different criteria used. The key criteria consist of six factors (port size, port location, hinterland economy, port costs, operations management and growth potential) that are divided into 18 sub-criteria. Five competing ports were selected with respect to geographical proximity. The order of ranking according to ELECTRE III are as follows: Kaohsiung Port, Xiamen Port, Fuzhou Port, Taichug Port and Quanzhou Port. The findings show that the port of Quanzhou appears last in the ordering sequence, resulting in a need for integrative approaches to promote its competitiveness. Compared with competitive ports, Quanzhou Port has relatively weak overall infrastructure and relatively high port costs, which leads to a lack of obvious flow of port materials and a decrease in professional unloading services. Particularly in hinterland port economies, the industrial structure is extensive and backward. Hence, the question of how to achieve a green transformation of the manufacturing industry will be important for Quanzhou Port. This paper points out directions for the future development of Quanzhou Port and applies comprehensive evaluation methods, namely fuzzy-AHP and ELECTRE III.

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“…From the theoretical aspect, it provides a solid basis for constructing and investigating various measures [34,35], operations [36], aggregation operators [37], ranking methods [38,39] and generalizations [40,41] of intuitionistic fuzzy sets. From the practical aspect, the use of this representation greatly facilitates the development of decision making [5,[42][43][44][45] and group decision making [46][47][48] in an intuitionistic fuzzy setting. The modelling and managing of uncertainty is of great importance for the acquisition of desirable solutions to decision making problems.…”

Section: Introductionmentioning

confidence: 99%

Lexicographic Orders of Intuitionistic Fuzzy Values and Their Relationships

et al. 2019

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Intuitionistic fuzzy multiple attribute decision making deals with the issue of ranking alternatives based on the decision information quantified in terms of intuitionistic fuzzy values. Lexicographic orders can serve as efficient and indispensable tools for comparing intuitionistic fuzzy values. This paper introduces a number of lexicographic orders by means of several measures such as the membership, non-membership, score, accuracy and expectation score functions. Some equivalent characterizations and illustrative examples are provided, from which the relationships among these lexicographic orders are ascertained. We also propose three different compatible properties of preorders with respect to the algebraic sum and scalar product operations of intuitionistic fuzzy values, and apply them to the investigation of compatible properties of various lexicographic orders. In addition, a benchmark problem regarding risk investment is further explored to give a comparative analysis of different lexicographic orders and highlight the practical value of the obtained results for solving real-world decision-making problems.

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A preference degree for intuitionistic fuzzy values and application to multi-attribute group decision making

Cited by 37 publications

References 52 publications

Centroid Transformations of Intuitionistic Fuzzy Values Based on Aggregation Operators

Centroid Transformations of Intuitionistic Fuzzy Values Based on Aggregation Operators

Study of the Competitiveness of Quanzhou Port on the Belt and Road in China Based on a Fuzzy-AHP and ELECTRE III Model

Lexicographic Orders of Intuitionistic Fuzzy Values and Their Relationships

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