Compatibility measures and consensus models for group decision making with intuitionistic multiplicative preference relations

Jiang, Yuan; Zhang, Xu; Yu, Xiaohan

doi:10.1016/j.asoc.2012.11.007

Cited by 103 publications

(39 citation statements)

References 34 publications

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“…So we can realize the target of evaluating each HME via the distance measure and the effect of it. And the effect is similar to the compatibility degree between a pair of intuitionistic multiplicative values presented by Jiang et al [46]. We concisely represent the distance measure presented by Xu and Xia [47], called hesitant normalized Hamming distance.…”

Section: Distance Measure For Hmesmentioning

confidence: 91%

City Sustainable Development Evaluation Based on Hesitant Multiplicative Fuzzy Information

He¹,

Wu²

2017

Mathematical Problems in Engineering

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Sustainable development evaluation is the basis of city sustainable development research, and effective evaluation is the foundation for guiding the formulation and implementation of sustainable development strategy. In this paper, we provided a new city sustainable development evaluation method called hesitant multiplicative fuzzy TODIM (HMF-TODIM). The main advantage of this method is that it can deal with the subjective preference information of the decision-makers. The comparison study of existing methods and HMF-TODIM is also carried out. Additionally, real case analysis is presented to show the validity and superiority of the proposed method. Research results in this paper can provide useful information for the construction of sustainable cities.

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Section: Distance Measure For Hmesmentioning

confidence: 91%

City Sustainable Development Evaluation Based on Hesitant Multiplicative Fuzzy Information

He¹,

Wu²

2017

Mathematical Problems in Engineering

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“…In addition, by Equation (30), we derive that the elements that cost these highest deviation are f 14 and f 41 from F 1 . We replace them according to Equation (32), to obtain the first around adjusted outranking flow matrix F …”

Section: A Numerical Examplementioning

confidence: 99%

Approach to Multi-Criteria Group Decision-Making Problems Based on the Best-Worst-Method and ELECTRE Method

2016

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This paper proposes a novel approach to cope with the multi-criteria group decision-making problems. We give the pairwise comparisons based on the best-worst-method (BWM), which can decrease comparison times. Additionally, our comparison results are determined with the positive and negative aspects. In order to deal with the decision matrices effectively, we consider the elimination and choice translation reality (ELECTRE III) method under the intuitionistic multiplicative preference relations environment. The ELECTRE III method is designed for a double-automatic system. Under a certain limitation, without bothering the decision-makers to reevaluate the alternatives, this system can adjust some special elements that have the most influence on the group's satisfaction degree. Moreover, the proposed method is suitable for both the intuitionistic multiplicative preference relation and the interval valued fuzzy preference relations through the transformation formula. An illustrative example is followed to demonstrate the rationality and availability of the novel method.

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“…We even cannot live without it in such a high complex society. Due to the changing and complicated socioeconomic environment, group decision making (GDM) has become a prevalent topic in the last decades (Conde and Pérez 2010;Fang et al 2012;Jiang et al 2013Jiang et al , 2015aJiang et al , b, 2016Li et al 2017;Liang et al 2017;Liu 2009;Orlovsky 1978;Pinar et al 2017;Qin 2017;Ren et al 2017;Sanchez et al 2017;Xia et al 2013;Xu 2007Xu , 2010Xu and Chen 2008;Yu 2015a, b;Yu and Shi 2015). In GDM, it is not necessary that a single decision maker should consider all important aspects of practical decision-making problems.…”

Section: Introductionmentioning

confidence: 99%

“…Generally speaking, the gap between the grades expressing good information should be larger than the one between the grades reflecting bad information. One example is the law of diminishing marginal utility in economics (Jiang et al 2013;Xia et al 2013). It is stated that as the amount of one factor of production increases as all other factors of production hold the same, the marginal return (extra output gained by adding an extra unit) decreases.…”

Section: Introductionmentioning

confidence: 99%

Interval-valued intuitionistic multiplicative aggregation in group decision making

2017

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Interval-valued intuitionistic multiplicative information uses an unsymmetrical scale (Saaty's 1-9) instead of the ordinary symmetrical scale to reflect our intuition which is more objective in some special situations. Recently, studies on aggregation techniques with interval-valued intuitionistic multiplicative information for group decision making (GDM) have received increasing attention, and several techniques have been proposed. However, none of them have considered the use of pseudomultiplication or Sugeno measure, and solved the GDM problems with interrelationships among input information. Since a pseudo-multiplication operator is given by weakening the axiomatic condition which is a key of fuzzy measure, and Sugeno measure is a representative non-additive measure, they are suitable for comprehensive evaluation problems which exist interactions. In this paper, we investigate interval-valued intuitionistic multiplicative aggregation operators and study the GDM problems where the preference information is given by the correlated decision makers. Based on the pseudo-multiplication, we first develop two aggregation operators (the interval-valued intuitionistic multiplicative weighted and ordered weighted averaging operators) and obtain several specific results when some specific forms are assigned. Then, for the situations where the input arguments have correlations or connections, we give the aggregation operator based on Choquet integral and Sugeno measure, and also study their properties. Based on the proposed aggregation operators, we present a method for GDM with interval-valued intuitionistic multiplicative preference relations, where some correlations or connections are reflected among the decision makers. Finally, we illustrate the given method with a practical example concerning the design of a satellite communication system.

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Compatibility measures and consensus models for group decision making with intuitionistic multiplicative preference relations

Cited by 103 publications

References 34 publications

City Sustainable Development Evaluation Based on Hesitant Multiplicative Fuzzy Information

City Sustainable Development Evaluation Based on Hesitant Multiplicative Fuzzy Information

Approach to Multi-Criteria Group Decision-Making Problems Based on the Best-Worst-Method and ELECTRE Method

Interval-valued intuitionistic multiplicative aggregation in group decision making

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