A Compromise Ratio Method with an Application to Water Resources Management: An Intuitionistic Fuzzy Set

Hashemi, H.; Bazargan, Jalal; Mousavi, Seyed Meysam

doi:10.1007/s11269-013-0271-x

Cited by 36 publications

(19 citation statements)

References 46 publications

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“…Fouladgar et al [37] proposed a model to regard a specific end goal to figure the importance weights of assessment components and to rank feasible projects, respectively. Hashemi et al [38] developed a compromise ratio approach with IFSs theory to water resources area. Zhao et al [39] reported an IFS-VIKOR method to handle the supplier selection.…”

Section: Introductionmentioning

confidence: 99%

A New Group Decision Model Based on Grey-Intuitionistic Fuzzy-ELECTRE and VIKOR for Contractor Assessment Problem

et al. 2018

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This study introduces a new decision model with multi-criteria analysis by a group of decision makers (DMs) with intuitionistic fuzzy sets (IFSs). The presented model depends on a new integration of IFSs theory, ELECTRE and VIKOR along with grey relational analysis (GRA). To portray uncertain real-life situations and take account of complex decision problem, multi-criteria group decision-making (MCGDM) model by totally unknown importance are introduced with IF-setting. Hence, a weighting method depended on Entropy and IFSs, is developed to present the weights of DMs and evaluation factors. A new ranking approach is provided for prioritizing the alternatives. To indicate the applicability of the presented new decision model, an industrial application for assessing contractors in the construction industry is given and discussed from the recent literature.

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Section: Introductionmentioning

confidence: 99%

A New Group Decision Model Based on Grey-Intuitionistic Fuzzy-ELECTRE and VIKOR for Contractor Assessment Problem

et al. 2018

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“…For example, Das and Kar [35] proposed an intuitionistic fuzzy soft set approach to GDM medical system. Hashemi et al [36] o ered a compromise ratio method with an application to water resources management. Hashemi et al [37] suggested an extended compromise ratio model with an application to reservoir ood control operation under an interval-valued intuitionistic fuzzy environment.…”

Section: Introductionmentioning

confidence: 99%

A projection-based approach to intuitionistic fuzzy group decision making

Yue

Jia

2017

Scientia Iranica

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Abstract. Group Decision Making (GDM) is usually used for solving complex decision problems, which is an important part of modern decision science. Weight of the Decision Maker (DM) plays an important role in the GDM process, and the projection-based approach is a comprehensive consideration between decision objects. It is a valuable work to determine the weights of DMs by a projection measurement. This paper investigates a GDM method based on projection measurement in an intuitionistic fuzzy environment. First, this article introduces an ideal decision among all individual decisions, and the weights of DMs are determined by using a projection measurement. Then, the individual decisions are aggregated into a collective decision. Finally, the preference order of alternatives is identi ed by using the score and accuracy function of the intuitionistic fuzzy numbers. In addition, a comparison with another GDM method is provided. Feasibility and practicability of the developed method are illustrated by an experimental analysis. The experimental result shows that the projection-based method is a high-resolution decision method.

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“…The A-IFS and its extensions could describe the fuzziness of an object more comprehensively than the FS and has a good performance in dealing with uncertain information. Up to now, plenty of research work has been done on A-IFSs and their extensions [8][9][10][11][12][13][14]. In 2004, Szmidt and Kacprzyk [8] proposed a similarity measure for A-IFSs and applied it in supporting medical diagnostic reasoning.…”

Section: Introductionmentioning

confidence: 99%

“…Xu and Wang [10] introduced the induced generalized aggregation operators for A-IFSs, which can be used in group decision making. Later, a compromise ratio method about A-IFSs was discussed by Hashemi, Bazargan and Mousavi [11], and this method has a good role in water resources management. Yu [12] introduced a prioritized information fusion method for triangular A-IFSs and used it for teaching quality evaluation.…”

Section: Introductionmentioning

confidence: 99%

Exponential operations of interval-valued intuitionistic fuzzy numbers

Gou

Zhang

Liao

2015

Int. J. Mach. Learn. & Cyber.

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The operational laws of intuitionistic fuzzy numbers are useful in dealing with the problems under intuitionistic fuzzy circumstances. As a supplementation, the exponential operational law of intuitionistic fuzzy numbers has been defined. Consider that we may utilize interval-valued intuitionistic fuzzy numbers (IVIFNs) to express uncertain weight information comprehensively in the complex multi-attribute decision making problems, in this paper, we discuss two exponential operational laws of IVIFNs, namely, the exponential operational law of IVIFNs with crisp parameter and the exponential operational law of IVIFNs with interval-valued parameter. Several properties and aggregation methods based on the exponential operational laws are discussed. Furthermore, we propose a new method to compare the novel dual interval-valued intuitionistic fuzzy numbers. Additionally, we give two information aggregation methods over these two exponential operational laws for dealing with some special problems in multi-attribute decision making, and finally, we apply the methods to a practical problem involving the choice of the optimal powered roof support for coal extraction with a high recovery rate.

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A Compromise Ratio Method with an Application to Water Resources Management: An Intuitionistic Fuzzy Set

Cited by 36 publications

References 46 publications

A New Group Decision Model Based on Grey-Intuitionistic Fuzzy-ELECTRE and VIKOR for Contractor Assessment Problem

A New Group Decision Model Based on Grey-Intuitionistic Fuzzy-ELECTRE and VIKOR for Contractor Assessment Problem

A projection-based approach to intuitionistic fuzzy group decision making

Exponential operations of interval-valued intuitionistic fuzzy numbers

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