Consensus, dissension and precision in group decision making by means of an algebraic extension of hesitant fuzzy linguistic term sets

•A collective degree of consensus for group decision making with HFLTSs is defined.•An individual degree of consensus for group decision making with HFLTSs is defined.•These degrees explicitly take into account how far non-overlapping assessments are.•A comparison study with existing measures is pre...

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Vydané v:Information fusion Ročník 42; s. 1 - 11
Hlavní autori: Montserrat-Adell, Jordi, Agell, Núria, Sánchez, Mónica, Javier Ruiz, Francisco
Médium: Journal Article Publikácia
Jazyk:English
Vydavateľské údaje: Elsevier B.V 01.07.2018
Elsevier
Predmet:
08 General algebraic systems
08A Algebraic structures
20 Group theory and generalizations
20M Semigroups
Algebraic structures, Ordered
Anàlisi matemàtica
Classificació AMS
Consensus measures
Decision maker's profile
Estructures algebraiques ordenades
Group decision making
Hesitant fuzzy linguistic term sets
Matemàtiques i estadística
Ordres, reticles, estructures algebraiques ordenades
Semigroups
Teoria d'operadors
Àlgebra
Àrees temàtiques de la UPC
Consensus measures
Group decision making
Decision maker’s profile
Hesitant fuzzy linguistic term sets
ISSN:1566-2535, 1872-6305
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Shrnutí:•A collective degree of consensus for group decision making with HFLTSs is defined.•An individual degree of consensus for group decision making with HFLTSs is defined.•These degrees explicitly take into account how far non-overlapping assessments are.•A comparison study with existing measures is presented.•A precision-dissension profile for each decision maker is presented. [Display omitted] Present measures of the degree of agreement in group decision-making using hesitant fuzzy linguistic term sets allow consensus or agreement measurement when decision makers’ assessments involve hesitance. Yet they do not discriminate with different degrees of consensus among situations with discordant or polarized assessments. The visualization of differences among groups for which there is no agreement but different possible levels of disagreement is an important issue in collective decision-making situations. In this paper, we propose new collective and individual consensus measures that explicitly consider the hesitance of the decision makers’ hesitance in giving an opinion and also the gap between non-overlapping assessments, thus allowing the measurement of the polarization present within the group’s opinions. In addition, an expert’s profile is defined by considering the expert’s behavior in previous assessments in group decision-making processes in terms of precision and dissension.
ISSN:1566-2535
1872-6305
DOI:10.1016/j.inffus.2017.09.004