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Determining the fuzzy measures in multiple criteria decision aiding from the tolerance perspective

Published on Jan 1, 2018in European Journal of Operational Research 3.81
· DOI :10.1016/j.ejor.2017.05.029
Jianping LiXiaolei19
Estimated H-index: 19
(CAS: Chinese Academy of Sciences),
Xiaoyang Yao2
Estimated H-index: 2
(CAS: Chinese Academy of Sciences)
+ 1 AuthorsDengsheng Wu10
Estimated H-index: 10
(CAS: Chinese Academy of Sciences)
Cite
Abstract
We consider multiple criteria decision aiding (MCDA) in the case of interactions between criteria. In dealing with interactions between criteria, fuzzy measures and integrals have demonstrated great advantages. Nevertheless, the determination of fuzzy measures has proven difficult because the capacities of not only single criterion but also all subsets of criteria need to be identified. Due to the value judgment essence of MCDA, the attitudes of the decision maker (DM) are typically modeled to identify fuzzy measures. In this paper, the tolerance attitudes of the DM, which implies a direct requirement instead of partial preference, are modeled with regard to the determination of fuzzy measures for the first time. With two scales developed in this paper, the DM can directly express the tolerance attitudes to certain criteria other than providing partial preference through pairwise comparison. As a result, it requires less prior knowledge and is more efficient to some extent. Further, the inherent interacting mechanism of criteria under different tolerance attitudes is explored. At last, the tolerance attitudes are applied to the process of multiple criteria analysis using a Choquet integral. A classic student evaluation problem is given as an example. The evaluation results are compared with additive models. This paper not only provides a new inspiration to the determination of fuzzy measures but also improves the descriptive capacity of fuzzy measures to the real world.
  • References (34)
  • Citations (13)
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References34
Newest
Published on Jan 1, 2017in European Journal of Operational Research 3.81
Thuener Silva1
Estimated H-index: 1
(PUC-Rio: Pontifical Catholic University of Rio de Janeiro),
Plácido Rogério Pinheiro16
Estimated H-index: 16
(Unifor),
Marcus Poggi8
Estimated H-index: 8
(PUC-Rio: Pontifical Catholic University of Rio de Janeiro)
Black and Litterman proposed an improvement to the Markowitz portfolio optimization model. They suggested the construction of views to represent investor’s opinion about the future of stocks’ returns. However, conceiving these views can be quite confusing. It requires the investor to quantify several subjective parameters. In this article, we propose a new way of creating these views using Verbal Decision Analysis. Questionnaires were designed with the intent of making it easier for investors to...
Published on Jul 1, 2016in European Journal of Operational Research 3.81
Salvatore Corrente15
Estimated H-index: 15
(University of Catania),
Salvatore Greco52
Estimated H-index: 52
(University of Catania),
Roman Slowifiski67
Estimated H-index: 67
(PUT: Poznań University of Technology)
Sorting methods, in particular ELECTRE Tri methods, are widely used in Multiple Criteria Decision Aiding to deal with ordinal classification problems. Problems of this kind encountered in practice involve the evaluation of different alternatives (actions) on several evaluation criteria that are structured in a hierarchical way. In order to deal with a hierarchical structure of criteria in decision problems, Multiple Criteria Hierarchy Process (MCHP) has been recently proposed. In this paper, we ...
Salvatore Corrente15
Estimated H-index: 15
(University of Catania),
Salvatore Greco52
Estimated H-index: 52
(University of Catania),
Alessio Ishizaka23
Estimated H-index: 23
(University of Portsmouth)
We consider multiple criteria decision aiding in the case of interaction between criteria. In this case the usual weighted sum cannot be used to aggregate evaluations on different criteria and other value functions with a more complex formulation have to be considered. The Choquet integral is the most used technique and also the most widespread in the literature. However, the application of the Choquet integral presents two main problems being the necessity to determine the capacity, which is th...
Published on May 1, 2016in European Journal of Operational Research 3.81
Juergen Branke16
Estimated H-index: 16
(Warw.: University of Warwick),
Salvatore Corrente15
Estimated H-index: 15
(University of Catania)
+ 2 AuthorsPiotr Zielniewicz9
Estimated H-index: 9
(PUT: Poznań University of Technology)
We propose an interactive multiobjective evolutionary algorithm that attempts to discover the most preferred part of the Pareto-optimal set. Preference information is elicited by asking the user to compare some solutions pairwise. This information is then used to curb the set of compatible user’s value functions, and the multiobjective evolutionary algorithm is run to simultaneously search for all solutions that could potentially be the most preferred. Compared to previous similar approaches, we...
Published on Aug 1, 2015in Fuzzy Sets and Systems 2.91
Hazel V. Rowley10
Estimated H-index: 10
(UNSW: University of New South Wales),
Arne Geschke17
Estimated H-index: 17
(USYD: University of Sydney),
Manfred Lenzen65
Estimated H-index: 65
(USYD: University of Sydney)
Aggregating multi-criteria data is an important problem with many applications. Commonly-used additive aggregation methods, such as the weighted arithmetic mean, cannot account for the criteria interactions encountered in many practical multi-criteria decision problems. The Choquet integral is a suitable aggregation operator in the presence of interacting criteria. It replaces the weight vector with a fuzzy measure that models the importance of each subset or coalition of criteria, rather than j...
Published on Jun 1, 2015in Fuzzy Optimization and Decision Making 4.13
Ronald R. Yager96
Estimated H-index: 96
(Iona College),
Naif Alajlan20
Estimated H-index: 20
(KSU: King Saud University)
We introduce the concept of monotonic set measures, and provide an ordering over these measures which allows us to describe one measure as being bigger or more generous than another. We discuss the use of these measures for the representation of complex importance relationships in multi-criteria decision-making and consider the use of additive, possibilistic and cardinality-based measures. We then look in considerable detail at the use of quasi-additive measures for representing criteria importa...
Published on Dec 1, 2013in Asia-Pacific Journal of Operational Research 0.56
Adiel Teixeira de Almeida22
Estimated H-index: 22
Using additive models for aggregation of criteria is an important procedure in many multicriteria decision methods. This compensatory approach, which scores the alternatives straightforwardly, may have significant drawbacks. For instance, the Decision Maker (DM) may prefer not to select alternatives which have a very low performance in whatever criterion. In contrast, such an alternative may have the best overall evaluation, since the additive model may compensate this low performance in one of ...
Published on May 1, 2013in Expert Systems With Applications 4.29
Chao-Che Hsu8
Estimated H-index: 8
(TKU: Tamkang University),
James J.H. Liou22
Estimated H-index: 22
(NTUT: National Taipei University of Technology),
Yen-Ching Chuang6
Estimated H-index: 6
(NTUT: National Taipei University of Technology)
Highlights? This study proposes a novel hybrid model to select an outsourcing provider. ? We combine DANP and grey relation methods and fix some previous drawbacks. ? The model addresses dependent relationships between the various criteria. ? The model could apply to general service industries. Globalization has inevitably forced firms to pursue outsourcing as a strategy to reduce operating costs and improve their competitiveness in the global marketplace. However, a successful outsourcing activ...
Published on Feb 1, 2013in European Journal of Operational Research 3.81
Myriam Merad7
Estimated H-index: 7
,
Nicolas Dechy8
Estimated H-index: 8
+ 2 AuthorsFrédéric Marcel5
Estimated H-index: 5
The implementation of Sustainable Development (SD) within an Organization is a difficult task. This is due to the fact that it is difficult to deal with conflicting and incommensurable aspects such as environmental, economic and social dimensions. In this paper we have used a Multi-Criteria Decision Aid (MCDA) methodology to cope with these difficulties. MCDA methodology offers the opportunity to avoid monetary valuation of the different dimensions of the SD. These dimensions are not substitutab...
Published on Dec 1, 2011in Fuzzy Sets and Systems 2.91
Brice Mayag5
Estimated H-index: 5
(University of Paris),
Michel Grabisch39
Estimated H-index: 39
(University of Paris),
Christophe Labreuche16
Estimated H-index: 16
In the context of multiple criteria decision analysis, we present the necessary and sufficient conditions to represent a cardinal preferential information by the Choquet integral w.r.t. a 2-additive capacity. These conditions are based on some complex cycles called cyclones.
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Published on Feb 13, 2019in Emerging Markets Finance and Trade 0.93
Xiuwen Chen2
Estimated H-index: 2
(CAS: Chinese Academy of Sciences),
Xiaolei Sun11
Estimated H-index: 11
(CAS: Chinese Academy of Sciences),
Jun Wang3
Estimated H-index: 3
(CAS: Chinese Academy of Sciences)
ABSTRACTIn recent years, researchers have increasingly studied the interaction between the crude oil market and economic policy uncertainty (EPU). To have a deeper knowledge, this article examines ...
Published on Aug 1, 2019in Renewable Energy 5.44
Yunna Wu8
Estimated H-index: 8
(NCEPU: North China Electric Power University),
Ting Zhang2
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(NCEPU: North China Electric Power University)
+ 4 AuthorsRuhang Xu3
Estimated H-index: 3
(NCEPU: North China Electric Power University)
Abstract With the urgent need for energy conservation and intrinsic intermittence optimization, seawater pumped hydro energy storage (SPHS) is developing rapidly in the foreign countries but no one has been built in China. Nevertheless, with vast resources, our country pays much attention on SPHS site selection lately since its superiority and the need for long-term energy development. To select the most ideal SPHS site from numerous candidate alternatives, 18 evaluation criteria are set in this...
Published on Jul 1, 2019in Information Sciences 5.52
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(CAS: Chinese Academy of Sciences),
Jin Zhang1
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(CAS: Chinese Academy of Sciences),
Weilan Suo1
Estimated H-index: 1
(CAS: Chinese Academy of Sciences)
Abstract To promote trade facilitation and regional integration, several cross-border transport infrastructure (CBTI) projects have been implemented and are accompanied by high complexity, difficulty, and uncertainty. This presents a multi-dimensional challenge for risk assessment. However, the challenge is amplified by the presence of dual interdependent effects induced by risk factor cascading propagation and project interaction. The purpose of this study involves developing a fuzzy decision a...
Published on Jun 27, 2019
Yirui Deng (China University of Petroleum), Mingyue Jiang (China University of Petroleum), Chen Ling (China University of Petroleum)
Emergencies will bring the great threat to the stability and coordination of supply chain, such as temporary interruption of raw materials supply, strong fluctuation of demand and distorted information transmission, which will lead to the breakdown of whole supply chain and threaten the survival of enterprises in supply chain. Based on the influence factors of emergency diffusion and supply chain structure in uncertain environment, this paper studies the diffusion effect of emergency and establi...
Published on May 1, 2019in IEEE Transactions on Fuzzy Systems 8.76
Xiaofeng Xu1
Estimated H-index: 1
(China University of Petroleum),
Jun Hao1
Estimated H-index: 1
(China University of Petroleum)
+ 1 AuthorsYirui Deng1
Estimated H-index: 1
(China University of Petroleum)
Obtaining a multiresource allocation scheme for multitask influenced by uncertain factors is a critical problem in a collaborative logistics network. This paper presents an optimal allocation model of fuzzy resources for multistage random logistics tasks based on the six-point trapezoidal fuzzy number and the membership function. Besides, considering task demands and resource constraints, a new cost–time–quality multiobjective programming of N–N task–resource assignment is introduced, which can ...
Published on May 1, 2019in IEEE Transactions on Fuzzy Systems 8.76
Chunbing Bao3
Estimated H-index: 3
(CAS: Chinese Academy of Sciences),
Dengsheng Wu10
Estimated H-index: 10
(CAS: Chinese Academy of Sciences),
Jianping LiXiaolei19
Estimated H-index: 19
(CAS: Chinese Academy of Sciences)
Risk measures play significant roles in determining the magnitude of risks. The traditional risk measures consider only the consequence (C)and the probability (P)and ignore the support of the knowledge behind to estimate Cand P. Several researchers have suggested adding knowledge as a third dimension in the risk measures. However, the issues of how to embed the dimension of knowledge in the risk measures to output an explicit expression of the risk measure and how to measure the stre...
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Chunbing Bao3
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Jie Wan1
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AbstractRisk matrices have been proven as useful risk management tools, especially in the cases where data are not sufficient. Current usage of risk matrices in both literature and practice is related to single risk assessment. However, sometimes the decision makers care more about the overall risk consisting of several of single risks, which is in the scope of the aggregation of single risks measured by risk matrices. Unfortunately, two notions, namely, incomparability of different qualitative ...
Published on Mar 1, 2019in Advances in Mechanical Engineering
Libin Zhang2
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Published on Feb 14, 2019
Lili Yuan1
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(CAS: Chinese Academy of Sciences),
Jianping LiXiaolei19
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(CAS: Chinese Academy of Sciences)
+ 2 AuthorsDengsheng Wu10
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(CAS: Chinese Academy of Sciences)
Meta-syntheses from experts’ judgements and quantitative metrics are two main forms of evaluation. But they both have limitations. This paper constructs a framework for mapping the evaluation results between quantitative metrics and experts’ judgements such that they may be solved. In this way, the weights of metrics in quantitative evaluation are objectively obtained, and the validity of the results can be testified. Weighted average percentile (WAP) is employed to aggregate different experts’ ...