Multicriteria fuzzy decision-making problems based on vague set theory

Hong, Dug Hun; Choi, Chang‐Hwan

doi:10.1016/s0165-0114(98)00271-1

Cited by 917 publications

(397 citation statements)

References 11 publications

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“…Hong and Choi [19] represented that the relation between the score function S and the accuracy function H is similar to the relation between mean and variance in statistics. According to the score function S and the accuracy function H, Xu [20] proposed an order relation between two intuitionistic fuzzy numbers to further compare these two intuitionistic fuzzy numbers in the following:…”

Section: B Intuitionistic Fuzzy Operators and Value Functionmentioning

confidence: 93%

A New Multiple Criteria Decision Making Method and its Application in Cloud Computing for Education

Sun¹

2015

Int. J. Emerg. Technol. Learn.

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Abstract-Cloud computing can extend the traditional education framework. In education, cloud can provide students and teachers with tools to deploy computing resources on-demand for lectures and labs according to their learning needs. But how to select a perfect cloud server is a key point, which is considered as a multiple criteria decision making problem. So, in this paper, intuitionistic fuzzy set is first introduced to express the decision maker's views. Intuitionistic fuzzy set (IFS) includes a membership function and a non-membership function. More importantly, a new operator with choquet integral is developed to deal with assessment of education using cloud computing. Meanwhile, score function and accuracy function are demonstrated to obtain the final result. Finally, we develop this method to apply in a case study to show its applicability.

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Section: B Intuitionistic Fuzzy Operators and Value Functionmentioning

confidence: 93%

A New Multiple Criteria Decision Making Method and its Application in Cloud Computing for Education

Sun¹

2015

Int. J. Emerg. Technol. Learn.

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“…Definition 3 (Chen & Tan, 1994;Hong & Choi, 2000;Xu, 2007) Let , be an intuitionistic fuzzy number, a score function S and an accuracy function H of an intuitionistic fuzzy value can be represented as follow.…”

Section: Definitionmentioning

confidence: 99%

“…In order to make comparisons between two preference information that are expressed in IFS, some metric methods were introduced, that is the score functions and accuracy functions (Chen & Tan, 1994;Hong & Choi, 2000;Wu, 2015;Xu, 2007) which were applied for solving MADM problems. However, investigations of these functions show some vital shortcomings, according to Wu (2015) the results obtained using the score functions and accuracy functions are not always consistent, also they often produce negative priority vector in their applications.…”

Section: Introductionmentioning

confidence: 99%

Extended TOPSIS model for solving multi-attribute decision making problems in engineering

Aikhuele¹,

Turan²

2017

10.5267/j.dsl

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In this paper, we propose an exponential-related function (ER) and develop an intuitionistic fuzzy TOPSIS model based on the function (IF-TOPSISEF) to solve multi-attribute decision making (MADM) problems in which the performance ratings are expressed in intuitionistic fuzzy sets (IFSs). The main advantage of this new approach is that the exponential-related function is able to represent the aggregated effect of the positive and negative evaluations in the performance ratings of alternatives based on the intuitionistic fuzzy set (IFS) data. It also serves as a mean for the computations of the separation measures of each alternative from the intuitionistic fuzzy positive and negative ideal solutions to determine the relative closeness coefficients. To demonstrate the effectiveness of the proposed method, the proposed IF-TOPSISEF is applied for the evaluation of the concept designs of a part in an HDD machine (The drill pipe slider), and for some hypothetical examples.Growing Science Ltd. All rights reserved. 7

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“…Fuzzy-set theory, which was created by Zadeh [6] of University of California in 1965, breaks classic set theory which is put forward by the cantor's major in the end of the 19th century [7]. Fuzzy set theory to express the important concept fuzziness of things: membership function [8].…”

Section: Introductionmentioning

confidence: 99%

Research on the Multiple Attribute Decision Making Model of Intelligent Information Processing with Intuitionistic Fuzzy Information

Chai¹

2015

TOAUTOCJ

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Abstract:In this paper, we shall investigate the multiple attribute decision making model of intelligent information processing with intuitionistic fuzzy information. Firstly, it introduces the concept of intuitionistic fuzzy sets and fuzzy number directly and sorting method, and the concept of intuitionistic fuzzy vector product. Secondly, puts forward the intuitionistic fuzzy set method of intuitionistic fuzzy transform, the Multiple Attribute Decision Making Model of Intelligent Information Processing with Intuitionistic Fuzzy Information. Finally, take soccer robot motion control as intelligent information processing example, sets up intelligent multiple attribute decision making model processing Intuitionistic Fuzzy Information with the fuzzy matrix, to study the feasibility of the application model in the real environment.

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Multicriteria fuzzy decision-making problems based on vague set theory

Cited by 917 publications

References 11 publications

A New Multiple Criteria Decision Making Method and its Application in Cloud Computing for Education

A New Multiple Criteria Decision Making Method and its Application in Cloud Computing for Education

Extended TOPSIS model for solving multi-attribute decision making problems in engineering

Research on the Multiple Attribute Decision Making Model of Intelligent Information Processing with Intuitionistic Fuzzy Information

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