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Insights into tolerability constraints in multi-criteria decision making: Description and modeling

Published on Dec 1, 2018in Knowledge Based Systems 5.10
· DOI :10.1016/j.knosys.2018.08.021
Xiaoyang Yao (China Jiliang University), Jianping LiXiaolei19
Estimated H-index: 19
(CAS: Chinese Academy of Sciences)
+ 1 AuthorsDengsheng Wu10
Estimated H-index: 10
(CAS: Chinese Academy of Sciences)
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Abstract
Abstract A perfect combination of fact-based and value-based judgments is what multiple criteria decision-making (MCDM) issues pursue. Tolerability constraints, an important part of value-based judgments, are easily observable and have drawn attention in theory. However, their practical applications in the MCDM process are still in their infancy. This paper aims to fill the gap between theory and application. A framework for tolerability constraints in the context of non-independent criteria is proposed and operated for the first time. In this framework, global tolerability constraints on the overall decision-making process and local constraints on a single criterion are considered at the same time. Furthermore, mandatory/ sufficient requirements are regarded as different aspects of tolerability constraints. Two cases are given to illustrate the application of the proposed framework. In short, the proposed framework deepens the understanding of MCDM issues and extends its application, especially with respect to tolerability requirements.
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References35
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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 $C$ and $P$ . 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...
4 Citations Source Cite
Published on Jan 1, 2018in European Journal of Operational Research 3.81
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)
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 i...
13 Citations Source Cite
Published on Aug 1, 2016in European Journal of Operational Research 3.81
E.B. Abrahamsen and Terje Aven48
Estimated H-index: 48
(University of Stavanger)
Risk assessment and management was established as a scientific field some 30–40 years ago. Principles and methods were developed for how to conceptualise, assess and manage risk. These principles and methods still represent to a large extent the foundation of this field today, but many advances have been made, linked to both the theoretical platform and practical models and procedures. The purpose of the present invited paper is to perform a review of these advances, with a special focus on the ...
156 Citations Source Cite
Published on Jun 1, 2016
Hasan Dinçer9
Estimated H-index: 9
,
Ümit Hacıoğlu8
Estimated H-index: 8
+ 1 AuthorsDursun Delen32
Estimated H-index: 32
(Oklahoma State University–Tulsa)
The 2008-2009 global financial crisis and its subsequent ramifications on capital markets have led to an increasing attention on the importance of cognitive and behavioral issues in finance. The purpose of this study is to determine the ranking of the industry alternatives for portfolio investments based on individual investors' perceptions. Accordingly, a hybrid analytic multi-criteria decision model (MCDM)-based on the Fuzzy Analytic Hierarchy Process (FAHP) and the Fuzzy Technique for the Ord...
16 Citations Source Cite
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...
23 Citations Source Cite
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...
29 Citations Source Cite
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...
7 Citations Source Cite
Published on Jul 1, 2015in Safety Science 3.62
Ben Ale20
Estimated H-index: 20
,
D.N.D. Hartford1
Estimated H-index: 1
(BC Hydro),
D. Slater1
Estimated H-index: 1
(Cardiff University)
The concept of reducing risk As Low As Reasonably Practicable (ALARP) as presented by the UK Health and Safety Executive for the purpose of discharging its decision-taking responsibilities and the principle of balancing cost and benefits through monetary Cost Benefit Analysis (CBA) which is used more widely in health and safety decision-making seem to occupy the extremes of the decision making spectrum. ALARP seems on the qualitative, holistic, principles based side whereas CBA seems on the quan...
23 Citations Source Cite
Published on Jul 1, 2014in Risk Analysis 2.56
Sven Ove Hansson39
Estimated H-index: 39
(KTH: Royal Institute of Technology),
E.B. Abrahamsen and Terje Aven48
Estimated H-index: 48
(University of Stavanger)
This article discusses to what extent risk analysis is scientific in view of a set of commonly used definitions and criteria. We consider scientific knowledge to be characterized by its subject matter, its success in developing the best available knowledge in its fields of study, and the epistemic norms and values that guide scientific investigations. We proceed to assess the field of risk analysis according to these criteria. For this purpose, we use a model for risk analysis in which science i...
37 Citations Source Cite
Matilde A. Rodrigues5
Estimated H-index: 5
(University of Minho),
P. Arezes15
Estimated H-index: 15
(University of Minho),
Celina Pinto Leão10
Estimated H-index: 10
(University of Minho)
Abstract The current work can be seen as a starting point for the discussion of the problematic on risk acceptance criteria in occupational environments. Some obstacles to the quantitative acceptance criteria formulation and use were analyzed. A look to the long tradition of major hazards accidents was also performed. This work shows that organizations can have several difficulties in acceptance criteria formulation and that the use of pre-defined acceptance criteria in risk assessment methodolo...
9 Citations Source Cite
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