An interactive method for dynamic intuitionistic fuzzy multi-attribute group decision making

Su, Zhi-Xin; Chen, Ming‐Yuan; Xia, Guoping; Wang, Li

doi:10.1016/j.eswa.2011.06.022

Cited by 115 publications

(36 citation statements)

References 47 publications

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“…In neuroscience, the Gamma distribution is often used to describe the distribution of inter-spike intervals [22]. The probability density function of Gamma distribution is given by (16) . 0 > , and 0 for )…”

Section: Dynamic Generalized Interval-valued Trapezoidal Fuzzy Numbermentioning

confidence: 99%

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Dynamic Multi-Attribute Group Decision Making Model Based on Generalized Interval-Valued Trapezoidal Fuzzy Numbers

Lin¹,

Yan²,

Shi³

2015

Cybernetics and Information Technologies

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In this paper we investigate the dynamic multi-attribute group decision making problems, in which all the attribute values are provided by multiple decision makers at different periods. In order to increase the level of overall satisfaction for the final decision and deal with uncertainty, the attribute values are enhanced with generalized interval-valued trapezoidal fuzzy numbers to cope with the vagueness and indeterminacy. We first define the Dynamic Generalized Interval-valued Trapezoidal Fuzzy Numbers Weighted Geometric Aggregation (DGITFNWGA) operator and give an approach to determine the weights of periods, using the probability density function of Gamma distribution, and then a dynamic multi-attribute group decision making method is developed. The method proposed employs the Generalized Interval-valued Trapezoidal Fuzzy Numbers Hybrid Geometric Aggregation (GITFNHGA) operator to aggregate all individual decision information into the collective attribute values corresponding to each alternative at the same time period, and then utilizes the DGITFNWGA operator to aggregate the collective attribute values at different periods into the overall attribute values corresponding to each alternative and obtains the alternatives ranking, by which the optimal alternative can be determined. Finally, an illustrative example is given to verify the approach developed.

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Section: Dynamic Generalized Interval-valued Trapezoidal Fuzzy Numbermentioning

confidence: 99%

“…W e i [15] proposed a grey relational analysis model for dynamic hybrid multiple attribute group decision making. S u et al [16] proposed an internative method to solve the dynamic intuitionistic fuzzy multi-attribute group decision making problems. Thus, it is necessary to develop some new approaches to deal with these issues.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Multi-Attribute Group Decision Making Model Based on Generalized Interval-Valued Trapezoidal Fuzzy Numbers

Lin¹,

Yan²,

Shi³

2015

Cybernetics and Information Technologies

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“…Bu derece bilgi eksikliği veya kişisel hatadan meydana gelir [1,24,33]. Özellikle, eğer her x  X için,…”

Section: Sezgi̇sel Bulanik Küme İle İlgi̇li̇ Tanimlar (Definitions Relatunclassified

Belirsizlik Etmenli Dinamik Bir Çok Kriterli Karar Verme Modeli

Bali¹

2014

Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

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ÖZETGenellikle, çok kriterli karar verme (ÇKKV) yöntemleri alternatiflerin değerlendirmesini belirli bir zaman periyodunda veya şimdiki zaman periyodunda ele almaktadır. Ancak bazı ÇKKV problemlerinde alternatiflerin mevcut durumdaki performansı kadar geçmişe yönelik performanslarının da dikkate alınması gerekmektedir. Diğer yandan ÇKKV'nin doğasında kriterlerin yapısından veya karar vericilerin değerlendirmesinden kaynaklanan belirsizlik vardır. Bu sebeple, bu çalışmanın amacı alternatiflerin farklı zaman periyotlarında değerlendirmesine imkân sağlayan belirsizlik etmenli dinamik bir ÇKKV modeli geliştirmektir. Modelde alternatiflerin değerlendirilmesindeki belirsizliği ifade etmek için insan düşünme sistemine daha yakın olarak tanımlanan sezgisel bulanık küme (SBK) teorisi kullanılmaktadır. Önerilen modelde sezgisel bulanık sayılarla gösterilen dilsel değişkenler karar vericilere değerlendirme kolaylığı sağlamaktadır. Alternatiflerin değerlendirilmesi sonucunda ortaya çıkan sezgisel bulanıklığın durulaştırılması maksadıyla gri ilişki analizinden (GİA) yararlanılmaktadır. GİA, alternatiflerin sıralanmasında ve seçiminde kullanılan etkili bir değerlendirme yöntemidir. Çalışmada, önerilen dinamik ÇKKV modelinin uygulanabilirliğini ve etkinliğini göstermek maksadıyla bir örnek uygulama sunulmaktadır.Anahtar Kelimeler: Sezgisel bulanık küme teorisi, gri ilişki analizi, dinamik karar verme, çok kriterli karar verme A DYNAMIC MULTI CRITERIA DECISION MAKING MODEL UNDER UNCERTAINTIES ABSTRACTGenerally, evaluation of alternatives in many multi criteria decision making (MCDM) methods is considered in a specific time period or current time period. However, not only current performances but also past performances of alternatives should be taken into account in some MCDM problems. In addition to this, the nature of MCDM consists of uncertainties due to structure of criteria or evaluation of decision makers. Therefore, the aim of this study is to develop a dynamic MCDM model based on uncertainties which enables to evaluate the alternatives in different periods. In this model, intuitionistic fuzzy set (IFS) theory, which is closer way for human thinking, is used to represent uncertainties in evaluation of alternatives. Linguistic variables shown with intuitionistic fuzzy numbers in the proposed model provide easiness for decision makers. To make defuzzification intuitionistic fuzziness obtaining after evaluation of alternatives is utilized grey relational analysis (GRA). GRA is an effective method used in the ranking and selection of the alternatives. In the study, a numerical example is presented to show the applicability and efficiency of the proposed dynamic MCDM model.

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“…To realize landing effect comparison of multiple pilots or multiple flight voyages for one pilot, Landing Signal Officer (LSO) needs to evaluate flight states [1][2][3][4][5][6]. There are two traditional techniques: static group decision making and dynamic decision making for evaluating multiple voyage, however, the traditional ones are insignificant for the singlepass.…”

Section: Introductionmentioning

confidence: 99%

Integrated Evaluation Technology of Landing Signal Officer for Carrier-Based Aircraft

Li¹

2016

IJMUE

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An interactive method for dynamic intuitionistic fuzzy multi-attribute group decision making

Cited by 115 publications

References 47 publications

Dynamic Multi-Attribute Group Decision Making Model Based on Generalized Interval-Valued Trapezoidal Fuzzy Numbers

Dynamic Multi-Attribute Group Decision Making Model Based on Generalized Interval-Valued Trapezoidal Fuzzy Numbers

Belirsizlik Etmenli Dinamik Bir Çok Kriterli Karar Verme Modeli

Integrated Evaluation Technology of Landing Signal Officer for Carrier-Based Aircraft

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