General IF-sets with triangular norms and their applications to group decision making

Pankowska, Anna; Wygralak, Maciej

doi:10.1016/j.ins.2005.11.011

Cited by 71 publications

(28 citation statements)

References 21 publications

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“…Since intuitionistic fuzzy sets adds new parameters into the fuzzy sets, and thus IFS can describe "neither this nor that" vague concept, therefore the theory have been a very suitable tool to be used to describe the imprecise or uncertain decision information. In many complex decision making field, a lot of scholars used intuitionistic fuzzy sets and have achieved fruitful results [10]- [11]. Domestic scholar Professor Xu Zeshui gives relevant concepts of intuitionistic fuzzy judgment matrix.…”

Section: Preliminaries 31 Definition Of Intuitionistic Fuzzy Set (Ifs)mentioning

confidence: 99%

Dynamic DEMATEL Group Decision Approach Based on Intuitionistic Fuzzy Number

et al. 2014

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With respect to the problems of aggregation about group experts' information and dynamic decision in DEMATEL (decision making trial and evaluation laboratory), a dynamic DEMATEL group expert decision-making method on intuitionistic fuzzy number (IFN) is presented. Firstly using IFN instead of Keywords: DEMATEL, intuitionistic fuzzy numbers, dynamic intuitionistic fuzzy weighted averaging operator IntroductionA kind of complex system factor analysis method, called Decision Making Trial and Evaluation Laboratory method (DEMATEL) was first conceived by George Washington university center in Geneva Battelle association in 1973 [1]. This kind of method is a tool based on graph theory and matrix to analyze the importance of the factors of system. The method constructs the direct influence matrix(DIM) through the experts' qualitative judgment of the logical relationship and influence between each other in the complex system factors analysis. Then it can calculate the degree of reason and center, so as to reveal the intrinsic causal relationship and find out the key factors of the system. Because of its practicability and convenience the method itself, DEMATEL receive high attention by scholars both at home and abroad, and it has been widely applied in many field [2]- [3]. However, through a lot of practical application, many scholars have found experts' judgment is subjective and arbitrary in the process of decision-making. Therefore the improvement of DEMATEL method becomes research hotspot in recent years. Several literatures respectively propose using grey number, triangular fuzzy number in DIM construction in order to make the experts' judgment more objective and scientific such as Tseng (2009), Don& Hshiung (2012 and Wu (2011) [4]- [6]. But these methods above are still failed to solve the science problem of experts' judgment building mechanism. We have put forward using intuitionistic fuzzy number to express experts' preference information in DEMATEL decision-making, which is based on the system intuition thinking of academician Wang Zhongtuo [7], and fully considering the expert information such as cognitive ability, personal preferences and situational characteristics. The extended method results by intuitionistic fuzzy numbers, improve the DEMATEL evaluation model. However, the vast majority literatures of DEMATEL decision-making are only focused on the judgment of the relationship between system factors by one single expert at the same period. But the relationship between the factors is complicated and diverse at different periods, also and the experts' knowledge and individual experience has certain limitation in many situations. It is necessary to develop some approaches to deal with these issues. At this point of view, when the complexity of system increases, the scientific decision making process often needs evaluation of multi-person and multi-rounds. In this paper, we shall take time dimension into decision making process, and aggregate experts' information of different periods effectively. It ...

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Section: Preliminaries 31 Definition Of Intuitionistic Fuzzy Set (Ifs)mentioning

confidence: 99%

Dynamic DEMATEL Group Decision Approach Based on Intuitionistic Fuzzy Number

et al. 2014

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“…It is also worth pointing out the work of Bilgiç (see, e.g., [67]). More applications in decision making can be found in [126][127][128].…”

Section: Decision Makingmentioning

confidence: 99%

A Survey of Interval‐Valued Fuzzy Sets

Bustince

Montero

Pagola

et al. 2008

Handbook of Granular Computing

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“…Atanassov [9] proposed the concept of intuitionistic fuzzy set (IFS) characterized by a membership function and a non-membership function, which is a generalization of the concept of fuzzy set whose basic component of only a membership function [10]. There are more and more researchers focusing on intuitionistic fuzzy set used to deal with multiple criteria decision making problems [11].…”

Section: Introductionmentioning

confidence: 99%

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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General IF-sets with triangular norms and their applications to group decision making

Cited by 71 publications

References 21 publications

Dynamic DEMATEL Group Decision Approach Based on Intuitionistic Fuzzy Number

Dynamic DEMATEL Group Decision Approach Based on Intuitionistic Fuzzy Number

A Survey of Interval‐Valued Fuzzy Sets

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

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