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

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 discorda...

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Detalles Bibliográficos
Autores: Montserrat Adell, Jordi, Agell, Nuria, Sánchez Soler, Monica|||0000-0002-0201-345X, Ruiz Vegas, Francisco Javier|||0000-0002-4314-101X
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/117217
Acceso en línea:https://hdl.handle.net/2117/117217
https://dx.doi.org/10.1016/j.inffus.2017.09.004
Access Level:acceso abierto
Palabra clave:Algebraic structures, Ordered
Semigroups
Consensus measures
Decision maker's profile
Group decision making
Hesitant fuzzy linguistic term sets
Estructures algebraiques ordenades
Classificació AMS::08 General algebraic systems::08A Algebraic structures
Classificació AMS::20 Group theory and generalizations::20M Semigroups
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Ordres, reticles, estructures algebraiques ordenades
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Teoria d'operadors
Descripción
Sumario: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.