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Open AccessArticle

A Decision Framework under a Linguistic Hesitant Fuzzy Set for Solving Multi-Criteria Group Decision Making Problems

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School of computing, SASTRA University, Thanjavur 613401, India
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Department of Mathematics, National Institute of Technology Durgapur, West Bengal 713209, India
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Department of Construction Technology and Management, Vilnius Gediminas Technical University, Sauletekio al. 11, Vilnius LT-10223, Lithuania
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Laboratory of Operational Research, Research Institute of Sustainable Construction, Vilnius Gediminas Technical University, Sauletekio al. 11, Vilnius LT-10223, Lithuania
*
Author to whom correspondence should be addressed.
Sustainability 2018, 10(8), 2608; https://doi.org/10.3390/su10082608
Received: 23 June 2018 / Revised: 16 July 2018 / Accepted: 20 July 2018 / Published: 25 July 2018
With fast-growing interest in sustainable healthcare management, proper selection and evaluation of hospitals become highly essential. Generally, experts/decision-makers (DMs) prefer qualitative information for rating objects. Motivated by this idea, in this paper, a linguistic hesitant fuzzy set (LHFS) is adopted for elicitation of preference information. The LHFS provides qualitative preferences of DMs as well as reflects their hesitancy, inconsistency, and vagueness. Motivated by the power of LHFS, in this paper we present a new decision framework that initially presents some operational laws and properties. Further, a new aggregation operator called simple linguistic hesitant fuzzy weighted geometry (SLHFWG) is proposed under the LHFS context that uses the strength of power operators. Some properties of SLHFWG are also investigated. Criteria weights are estimated using a newly proposed linguistic hesitant fuzzy statistical variance (LHFSV) method, and objects are ranked using the newly proposed linguistic hesitant fuzzy VIKOR (visekriterijumska optimizacijai kompromisno resenje) (LHFVIKOR) method, which is an extension of VIKOR under the LHFS context. The practicality and usefulness of the proposal are demonstrated by using a hospital evaluation example for sustainable healthcare management. Finally, the strengths and weaknesses of the proposal are realized by comparison with other methods. View Full-Text
Keywords: group decision making; hesitant fuzzy set; hospital evaluation; linguistic hesitant fuzzy set and Standard variance group decision making; hesitant fuzzy set; hospital evaluation; linguistic hesitant fuzzy set and Standard variance
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Krishankumar, R.; Ravichandran, K.S.; Premaladha, J.; Kar, S.; Zavadskas, E.K.; Antucheviciene, J. A Decision Framework under a Linguistic Hesitant Fuzzy Set for Solving Multi-Criteria Group Decision Making Problems. Sustainability 2018, 10, 2608.

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