Abstract

AbstractDecision makers involved in complex decision making problems usually provide information about their preferences by eliciting their knowledge with different assessments. Usually, the complexity of these decision problems implies uncertainty that in many occasions has been successfully modelled by means of linguistic information, mainly based on fuzzy based linguistic approaches. However, classically these approaches just allow the elicitation of simple assessments composed by either one label or a modifier with a label. Nevertheless, the necessity of more complex linguistic expressions for eliciting decision makers’ knowledge has led to some extensions of classical approaches that allow the construction of expressions and elicitation of preferences in a closer way to human beings cognitive process. This paper provides an overview of the broadest fuzzy linguistic approaches for modelling complex linguistic preferences together some challenges that future proposals should achieve to improve complex ...

Highlights

  • In spite of decision making processes have been an object of research during many years, new requirements and challenges within the topic arise often, because of new problems and new necessities of decision makers

  • This paper aims at providing an overview of the fuzzy approaches that model complex linguistic expressions together with their computational models

  • The linguistic expressions provided by this approach are more elaborated and flexible than previous one (Section 3.1), but their formalization is still far from common language used by decision makers in decision making, unless for mathematician experts that are familiar with logic expressions

Read more

Summary

Introduction

In spite of decision making processes have been an object of research during many years, new requirements and challenges within the topic arise often, because of new problems and new necessities of decision makers. Nowadays the complexity of decision making problems is due to the existence of multiple and conflicting goals and the necessity of dealing with huge amounts of information and alternatives, and because of time pressure, lack of knowledge and so on It implies that these problems are ill-structured whose definition framework often involves uncertainty, vagueness and incomplete information that cannot be properly modelled by probabilistic models. Across specialized literature different fuzzy linguistic based approaches for modelling preferences in decision making and computational models for CW processes can be found [18,22,26,28,32], these approaches provide just either simple terms or labels that hardly can express in many complex decision situations the decision makers’ knowledge in a proper and adequate way according to decision makers’ aims.

Decision Making and Linguistic Information
Fuzzy Linguistic Approach
Linguistic computing models
Linguistic computing model based on membership functions
Symbolic linguistic computing model
Modelling Complex Linguistic Preferences
Proportional 2-tuple linguistic model
Representation model
Comparison of proportional 2-tuple values
Proportional 2-tuple aggregation operators
Analysis of proportional 2-tuple expressions
Computational model
A fuzzy-set approach to treat determinacy and consistency of linguistic terms
Analysis of expressions based on synthesized comments
Linguistic distribution
A comparison law
Aggregation operators of distribution assessments
Analysis of expressions based on linguistic distributions
Complex Linguistic Expressions based on Hesitant Fuzzy Linguistic Term Sets
Extension of Hesitant Fuzzy Linguistic Term Sets
Analysis of complex linguistic expressions based on HFLTS
Challenges and Future in Modelling Complex Linguistic Preferences
Conclusions
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call