A grey relational projection method for multi attribute decision making based on three trapezoidal fuzzy numbers

The purpose of this chapter is to introduce a new approach for an assessment of the credit risks. The initial part of the chapter is to briefly discuss the existing models of assessment of the credit risks and justify the need for a new approach. Since a new approach is created for conditions of uncertainty, we cannot do without fuzzy mathematics. The proposed approach is based on group decision-making, where experts’ opinions are expressed by trapezoidal fuzzy numbers. The theoretical basis of the offered approach is laid out in the metric space of trapezoidal fuzzy numbers. The new approach is introduced and discussed, and two realization algorithms are given. The toy example of application of the introduced approach is offered as well.

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A Dynamic Multiple Attribute Decision Making Method Based on Intuitionistic Trapezoidal Fuzzy Numbers

Journal of Convergence Information Technology ◽

10.4156/jcit.vol7.issue17.56 ◽

2012 ◽

Vol 7 (17) ◽

pp. 475-481

Author(s):

Yuwen Shi ◽

Wei Lin

Keyword(s):

Decision Making ◽

Fuzzy Numbers ◽

Multiple Attribute Decision Making ◽

Trapezoidal Fuzzy Numbers ◽

Multiple Attribute

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Contractor Selection Using Integrated Goal Programming and Fuzzy ELECTRE

International Journal of Strategic Decision Sciences ◽

10.4018/ijsds.2014070104 ◽

2014 ◽

Vol 5 (3) ◽

pp. 65-86 ◽

Cited By ~ 2

Author(s):

Ahmad Jafarnejad Chaghooshi ◽

Ehsan Khanmohammadi ◽

Maryam Faghei ◽

Amir Karimi

Keyword(s):

Decision Making ◽

Goal Programming ◽

Fuzzy Numbers ◽

Multi Criteria Decision Making ◽

Contractor Selection ◽

Trapezoidal Fuzzy Numbers ◽

Technical Capacity ◽

Selection Of

Outsourcing plays an important role in the success of organizations. One of the risks associated with outsourcing is inappropriate contractor selection which significantly influences the implementation of projects in terms of time, quality, and cost. In this study, we applied multi-criteria decision-making techniques in order to determine the best contractor using criteria such as reputation, offered price, and technical capacity. This study is primarily aimed at identifying important criteria of contractor selection, determining the significance of the criteria, and designing a framework for selection of the most appropriate contractor. Important criteria for selecting contractors were extracted from the literature and experts' views were collected using questionnaire. Accordingly, six criteria were selected and their weights were determined by the application of goal programming. Finally, contractors were ranked and the best contractor was selected using fuzzy ELECTRE technique with trapezoidal fuzzy numbers.

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DENSITY AGGREGATION OPERATORS BASED ON THE INTUITIONISTIC TRAPEZOIDAL FUZZY NUMBERS FOR MULTIPLE ATTRIBUTE DECISION MAKING

Technological and Economic Development of Economy ◽

10.3846/20294913.2013.881436 ◽

2014 ◽

Vol 19 (Supplement_1) ◽

pp. S454-S470 ◽

Cited By ~ 9

Author(s):

Peide Liu ◽

Xiaocun Yu

Keyword(s):

Decision Making ◽

Fuzzy Numbers ◽

Multiple Attribute Decision Making ◽

Expected Value ◽

Aggregation Operators ◽

Ranking Method ◽

Interval Numbers ◽

Trapezoidal Fuzzy Numbers ◽

Multiple Attribute

With respect to the multiple attribute decision making problems in which the attribute values take the form of the intuitionistic trapezoidal fuzzy numbers, some methods based on density aggregation operators are proposed. Firstly, the definition, expected value and the ranking method of intuitionistic trapezoidal fuzzy numbers are introduced, and the method of calculating density weighted vector is proposed. Then some density aggregation operators based on interval numbers and intuitionistic trapezoidal fuzzy numbers are developed, and a multiple attribute decision making method is presented. Finally an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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