scholarly journals An Application of Non-additive Measures and Corresponding Integrals in Tourism Management

2020 ◽  
Vol 17 (1) ◽  
pp. 0172
Author(s):  
Sabri Et al.
Keyword(s):  
Mathematical Model ◽  
Decision Making ◽  
Information Fusion ◽  
Information Sources ◽  
Choquet Integral ◽  
Multi Criteria Decision Making ◽  
Additive Property ◽  
Tourism Management ◽  
Additive Measures ◽  
Individual Information

Non-additive measures and corresponding integrals originally have been introduced by Choquet in 1953 (1) and independently defined by Sugeno in 1974 (2) in order to extend the classical measure by replacing the additivity property to non-additive property. An important feature of non –additive measures and fuzzy integrals is that they can represent the importance of individual information sources and interactions among them. There are many applications of non-additive measures and fuzzy integrals such as image processing, multi-criteria decision making, information fusion, classification, and pattern recognition. This paper presents a mathematical model for discussing an application of non-additive measures and corresponding integrals in tourism management. First, the problem of tourism management is described for one of the tourism companies in Iraq. Then, fuzzy integrals (Sugeno integral, Choquet integral, and Shilkret integral) are applied with respect to non-additive measures to evaluate the grade of the gratification of the tourist of staying in a particular town for determining the best evaluation.

scholarly journals Integration of Extra-Information for Belief Function Theory Conflict Management Problem Through Generic Association Rules

2014 ◽  
Vol 22 (04) ◽  
pp. 531-551 ◽  
Author(s):  
Ahmed Samet ◽  
Eric Lefèvre ◽  
Sadok Ben Yahia
Keyword(s):  
Decision Making ◽  
Conflict Management ◽  
Information Fusion ◽  
Information Sources ◽  
Function Theory ◽  
Belief Function ◽  
Management Approach ◽  
Management Problem ◽  
Extra Information ◽  
Belief Function Theory

Decision making by considering multiple information sources could provide interesting results. For that reason, fusion formalisms were a major concern in the belief function community. In this context, the Belief function theory allows information fusion thanks to its combinations tools that it integrates. Nevertheless, belief function theory highlights a limit in the merging of contradictory (conflictual) sources. Many authors tackled this problem offering contributions in this field. Unfortunately, no proposed operator has distinguished by its adequacy regardless the type of handled sources. In this paper, we demonstrate the limits of some referenced works and we diagnostic the issues origin. We propose a conflict management approach based on an extra-information that guides the treatment. We also integrate a generic associative base borrowed from the data mining domain in order to apply the adequate conflict management.

A GMCDM approach with linguistic Z-numbers based on TOPSIS and Choquet integral considering risk preference

2020 ◽  
Vol 39 (3) ◽  
pp. 4285-4298
Author(s):  
Ran Tao ◽  
Fuyuan Xiao
Keyword(s):  
Decision Making ◽  
Supplier Selection ◽  
Choquet Integral ◽  
Risk Preference ◽  
Decision Makers ◽  
Multi Criteria Decision Making ◽  
Uncertain Information ◽  
Human Knowledge ◽  
Mcdm Method ◽  
Evaluation Information

Group multi-criteria decision-making (GMCDM) is an important part of decision theory, which is aimed to assess alternatives according to multiple criteria by collecting the wisdom of experts. However, in the process of evaluating, because of the limitation of human knowledge and the complexity of problems, an efficient GMCDM approach under uncertain environment still need to be further explored. Thus, in this paper, a novel GMCDM approach with linguistic Z-numbers based on TOPSIS and Choquet integral is proposed. Firstly, since linguistic Z-numbers performs better in coping with uncertain information, it is used to express the evaluation information. Secondly, TOPSIS, one of the most useful and systematic multi-criteria decision-making (MCDM) method, is adopted as the framework of the proposed approach. Thirdly, frequently it exists interaction between criteria, so Choquet integral is introduced to capture this kind of influence. What’s more, viewing that decision makers (DMs) show different preferences for uncertainty, the risk preference is regarded as a vital parameter when calculating the score of linguistic Z-numbers. An application in supplier selection is illustrated to demonstrate the effectiveness of the proposed approach. Finally, a further comparison and discussion of the proposed GMCDM method is given.

Predictive mathematical model for solving multi-criteria decision-making problems

2018 ◽  
Vol 31 (10) ◽  
pp. 6733-6746 ◽  
Author(s):  
N. Deepa ◽  
K. Ganesan ◽  
Balaji Sethuramasamyraja
Keyword(s):  
Mathematical Model ◽  
Decision Making ◽  
Multi Criteria Decision Making

scholarly journals AN EXTENDED TODIM METHOD FOR PROJECT MANAGER’S COMPETENCY EVALUATION

2019 ◽  
Vol 25 (7) ◽  
pp. 673-686 ◽  
Author(s):  
Jielin Yin ◽  
Jian Guo ◽  
Tianmeng Ji ◽  
Jingru Cai ◽  
Lei Xiao ◽  
...  
Keyword(s):  
Decision Making ◽  
High Efficiency ◽  
Choquet Integral ◽  
Project Managers ◽  
Project Manager ◽  
Decision Makers ◽  
Multi Criteria Decision Making ◽  
Psychological Behavior ◽  
Todim Method ◽  
Competency Evaluation

The project managers’ high efficiency and leadership ability is very important for the success of the whole project. Evaluating the competency of project manager accurately and selecting the suitable project manager from alternatives is a very core research issue that should be paid high attention to in the field of project management. When evaluating the competency of project manager, multiple criteria with interactive relationship should be considered, and the decision makers may have bounded rational behavior which may have a great impact on the result of evaluation, whereas the decision makes’ psychological behavior is rarely taken into account in the existing studies on the evaluation of project managers’ competency. TODIM (an acronym in Portuguese of interactive and multi-criteria decision making) is a multi-criteria decision making method considering the decision makers’ behavior. In this paper, an extended TODIM method which combines λ -fuzzy measure with Choquet integral considering incomplete criteria information and decision makers’ bounded rational behaviors are presented to evaluate the competency of project manager. Furthermore, a numerical example is presented to illustrate the method proposed. We hope that this method can provide some valuable references for the evaluation of project manager’s competency.

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