Supply chain partners and configuration selection: An intuitionistic fuzzy Choquet integral operator based approach

Ashayeri, J.; Tuzkaya, Gülfem; Tuzkaya, Umut Rıfat

doi:10.1016/j.eswa.2011.09.055

Cited by 51 publications

(34 citation statements)

References 27 publications

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“…Therefore, how to derive the fuzzy measures to reflect the relationship of attributes becomes a vital problem in such practical problems. From the current literature 57,58,59 , we can only find research on the determination of the fuzzy measures with the decision makers assignment directly, which not only raises difficulties for large dimensional problems and may also lead to information losses, distortion and inconsistencies. Here, we propose a new method to determine the fuzzy measures from the known information, which can avoid the shortcomings of the current direct assignment methods.…”

Section: A New Methods To Determine Fuzzy Measure Under Interval-valuementioning

confidence: 99%

“…When the problem dimensionality increases, the computational complexity increases rapidly. So far, in the current literature 42,43,44,45,57,58,59 , the fuzzy measures are usually provided by decision makers (DMs) in advance, which maybe difficult to the DMs and is closely related the subjective preferences of the DMs, or can even lead to inconsistent results. If the fuzzy measures can be determined from the problem formulation or the decision maker's known information directly, the decision making model solution can be more reliable and objective than the current ones.…”

Section: Introductionmentioning

confidence: 99%

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Multi-attribute group decision making based on Choquet integral under interval-valued intuitionistic fuzzy environment

Qin¹,

Liu²,

Pedrycz³

2016

IJCIS

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In this paper, we propose new methods to represent interdependence among alternative attributes and experts' opinions by constructing Choquet integral using interval-valued intuitionistic fuzzy numbers. In the sequel, we apply these methods to solve the multiple attribute group decision-making (MAGDM) problems under interval-valued intuitionistic fuzzy environment. First, the concept of interval-valued intuitionistic fuzzy Choquet integral is defined, and some elementary properties are studied in detail. Next, an axiomatic system of interval-valued intuitionistic fuzzy measure is established by delivering a series of mathematical proofs. Then, with fuzzy entropy and Shapely-values in game theory, we propose the interval-valued intuitionistic fuzzy measure development methods in order to form the importance measure of attributes and correlation measure of the experts, respectively. Based on the results of theoretical analysis, a new method is proposed to handle the interval-valued intuitionistic fuzzy group decision making problems. A numerical example illustrates the procedure of the proposed methods and verifies the validity and effectiveness of our new proposed methods.Keywords: Interval-valued intuitionistic fuzzy Choquet integral, interval-valued intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy measure , multiple attribute group decision making.

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Section: A New Methods To Determine Fuzzy Measure Under Interval-valuementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multi-attribute group decision making based on Choquet integral under interval-valued intuitionistic fuzzy environment

Qin¹,

Liu²,

Pedrycz³

2016

IJCIS

View full text Add to dashboard Cite

show abstract

“…1. Recently, Xu (2010), Tan and Chen (2010) proposed some intuitionistic fuzzy aggregation operators based on Choquet integral (Ashayeri et al 2012). In this study, one of the aggregation operators introduced in these two papers is utilized.…”

Section: Decision Making Methodologymentioning

confidence: 99%

“…Until now, Choquet integral has been applied to various decision problems like job-shop scheduling problems (Saad et al 2008), intranet web-sites evaluations (Tzeng et al 2005), 4PL operating models evaluation (Büyüközkan et al 1999), software development risk assessment (Büyüközkan and Ruan 2010), warehouse location selection (Demirel et al 2010), customer service perception evaluation (Hu and Chen 2010), supply chain partner selection (Ashayeri et al 2012), etc. Details and the basic concepts of the Choquet integral can be obtained from (Choquet 1953;Grabisch 1997;Marichal and Roubens 2000;Torra and Narukawa 2007).…”

Section: Preliminaries For Intuitionistic Fuzzy Choquet Integral Opermentioning

confidence: 99%

An intuitionistic fuzzy Choquet integral operator based methodology for environmental criteria integrated supplier evaluation process

Tuzkaya

2013

Int. J. Environ. Sci. Technol.

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Supplier evaluation problems deal with selecting appropriate suppliers considering multiple criteria, which may be related with qualitative and quantitative aspects. Traditional supplier selection criteria contain criteria such as cost, capacity, delivery reliability, flexibility, and responsiveness, etc. However, due to the increasing level of environmental problems, it is a necessity to take environmental criteria into account together with the traditional decision criteria in the supplier evaluation processes of companies. Considering this necessity, this paper proposes a decision making methodology for environmental criteria integrated supplier evaluation processes. A methodology based on intuitionistic fuzzy Choquet integral operator is utilized to take into account vagueness of the decision environment and the interactions among the criteria. This methodology also provides the consideration of the satisfaction and dissatisfaction degrees of alternatives for each criterion with the help of intuitionistic fuzzy values. In addition, the effects of the criteria weights to the final ranking of suppliers are analyzed via sensitivity analyses.

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“…Due to the increasing complexity of real life problems, intuitionistic fuzzy set is very suitable for representing fuzzy information under complicated and uncertain settings as an extension of traditional fuzzy set. Intuitionistic fuzzy set theory has been deeply discussed by many scholars since the notations appearance and applied in various fields, such as decision-making [2][3][4][5][6][7], supplier selection [8][9][10], pattern recognition [11][12][13][14], medical diagnosis [15,16], and artificial intelligence [17,18].…”

Section: Introductionmentioning

confidence: 99%

Preference Attitude‐Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection

et al. 2018

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Many applications of intuitionistic fuzzy sets depend on ranking or comparing intuitionistic fuzzy numbers. This paper presents a novel ranking method for intuitionistic fuzzy numbers based on the preference attitudinal accuracy and score functions. The proposed ranking method considers not only the preference attitude of decision maker, but also all the possible values in feasible domain. Some desirable properties of preference attitudinal accuracy and score functions are verified in detail. A total order on the set of intuitionistic fuzzy numbers is established by using the proposed two functions. The proposed ranking method is also applied to select renewable energy. The advantage and validity of the proposed method are shown by comparing with some representative ranking methods.

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Supply chain partners and configuration selection: An intuitionistic fuzzy Choquet integral operator based approach

Cited by 51 publications

References 27 publications

Multi-attribute group decision making based on Choquet integral under interval-valued intuitionistic fuzzy environment

Multi-attribute group decision making based on Choquet integral under interval-valued intuitionistic fuzzy environment

An intuitionistic fuzzy Choquet integral operator based methodology for environmental criteria integrated supplier evaluation process

Preference Attitude‐Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection

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