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A fuzzy optimization method for multicriteria decision making: An application to reservoir flood control operation
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This paper presents a fuzzy optimization method based on the concept of ideal and anti-ideal points to solve multi-criteria decision making problems under fuzzy environments to demonstrate the method's effectiveness.Abstract:
This paper presents a fuzzy optimization method based on the concept of ideal and anti-ideal points to solve multi-criteria decision making problems under fuzzy environments. The quantitative criteria values of each alternative are represented by triangular fuzzy numbers, and its qualitative counterparts and the weight of each criterion are described by linguistic terms, which can also be expressed as triangular fuzzy numbers in the proposed method. With the definition of fuzzy ideal and anti-ideal weight distances, an objective function is constructed to derive the optimal evaluation for each alternative denoted by a fuzzy membership degree. The ranking of alternatives and the best one can be determined directly on the basis of the fuzzy membership degrees without a need to compare fuzzy numbers. The evaluation process is simple and easy to use in practice. A case study of reservoir flood control operation is given to demonstrate the proposed method's effectiveness.read more
Citations
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Journal ArticleDOI
Computing with words in decision making: foundations, trends and prospects
TL;DR: An historical perspective of CW in decision making is presented by examining the pioneer papers in the field along with its most recent applications and different linguistic computational models that have been applied to the decision making field are explored.
Journal ArticleDOI
Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method
Shyi-Ming Chen,Li-Wei Lee +1 more
TL;DR: The proposed method provides a useful way to handle fuzzy multiple attributes group decision-making problems in a more flexible and more intelligent manner due to the fact that it uses interval type-2 sets rather than traditional type-1 fuzzy sets to represent the evaluating values and the weights of the attributes.
Journal ArticleDOI
A fuzzy multi-criteria decision making model for supplier selection
TL;DR: This paper presents a hybrid fuzzy model for group Multi Criteria Decision Making (MCDM) that was applied on an industrial case study for the selection of cans supplier/suppliers at Nutridar Factory in Amman-Jordan to demonstrate the proposed model.
Journal ArticleDOI
Survey of computational intelligence as basis to big flood management: challenges, research directions and future work
Farnaz Fotovatikhah,Manuel Herrera,Shahaboddin Shamshirband,Kwok Wing Chau,Sina Ardabili,Md. Jalil Piran +5 more
TL;DR: This paper aims to present a comprehensive survey about the application of CI-based methods in FMSs and identifies and introduces the most promising approaches nowadays with respect to the accuracy and error rate for flood debris forecasting and management.
Journal ArticleDOI
Computing with Words in Decision support Systems: An overview on Models and Applications
TL;DR: This paper overviews the more significant and extended linguistic computing models due to its key role in linguistic decision making and a wide range of the most recent applications of linguistic decision support models.
References
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Book
Multiple Attribute Decision Making: Methods and Applications
TL;DR: In this paper, the authors present a classification of MADM methods by data type and propose a ranking method based on the degree of similarity of the MADM method to the original MADM algorithm.
Book
Decision-making in a fuzzy environment
Richard Bellman,Lotfi A. Zadeh +1 more
TL;DR: A reverse-flow technique is described for the solution of a functional equation arising in connection with a decision process in which the termination time is defined implicitly by the condition that the process stops when the system under control enters a specified set of states in its state space.
Journal ArticleDOI
Extensions of the TOPSIS for group decision-making under fuzzy environment
TL;DR: The rating of each alternative and the weight of each criterion are described by linguistic terms which can be expressed in triangular fuzzy numbers and a vertex method is proposed to calculate the distance between two triangular fuzzyNumbers.
Journal ArticleDOI
Introduction to Fuzzy Arithmetic, Theory and Applications.
TL;DR: This book introduced many novel mathematical operations based on this concept of level of confidence and have presented many generalizations, and presented several operations and functions of fuzzy numbers, such as integer modulo operations, trigonometric functions, and hyperbolic functions.
Journal ArticleDOI
Ranking fuzzy numbers with integral value
Tian-Shy Liou,Mao-Jiun J. Wang +1 more
TL;DR: A method of ranking fuzzy numbers with integral value is proposed, which is independent of the type of membership functions used and the normality of the functions, and can rank more than two fuzzy numbers simultaneously.