Open AccessBook
Fuzzy Preference Modelling and Multicriteria Decision Support
János Fodor,Marc Roubens +1 more
Reads0
Chats0
TLDR
This dissertation aims to provide a history of web exceptionalism from 1989 to 2002, a period chosen in order to explore its roots as well as specific cases up to and including the year in which descriptions of “Web 2.0” began to circulate.Abstract:
Introduction. 1. Fuzzy logical connectives. 2. Valued binary relations. 3. Valued preference modelling. 4. Similarity relations and valued orders. 5. Aggregation operations. 6. Ranking procedures. 7. Multiple criteria decision making. 8. Summary, perspectives and open problems. Index.read more
Citations
More filters
Journal ArticleDOI
Rough sets theory for multicriteria decision analysis
TL;DR: The original rough set approach proved to be very useful in dealing with inconsistency problems following from information granulation, but is failing when preference-orders of attribute domains (criteria) are to be taken into account and it cannot handle inconsistencies following from violation of the dominance principle.
Journal ArticleDOI
Linguistic decision analysis: steps for solving decision problems under linguistic information
TL;DR: A study on the steps to follow in linguistic decision analysis is presented in a context of multi-criteria/multi-person decision making.
Book
Aggregation Functions: A Guide for Practitioners
TL;DR: A broad introduction into the topic of aggregation functions, and provides a concise account of the properties and the main classes of such functions, including classical means, medians, ordered weighted averaging functions, Choquet and Sugeno integrals, triangular norms, conorms and copulas, uninorms, nullnorms, and symmetric sums.
Journal ArticleDOI
The application of fuzzy integrals in multicriteria decision making
TL;DR: It is shown that fuzzy integrals are able to model interaction between criteria in a flexible way and is one of the aims of this review to disseminate this emerging technology in many industrial fields.
Journal ArticleDOI
Some issues on consistency of fuzzy preference relations
TL;DR: A new characterization of the consistency property defined by the additive transitivity property of the fuzzy preference Relations is presented and a method for constructing consistent fuzzy preference relations from a set of n preference data is proposed.
References
More filters
Book
Decision-making in a fuzzy environment
Richard Bellman,Lotfi A. Zadeh +1 more
TL;DR: A reverse-flow technique is described for the solution of a functional equation arising in connection with a decision process in which the termination time is defined implicitly by the condition that the process stops when the system under control enters a specified set of states in its state space.
Journal ArticleDOI
Ranking alternatives using fuzzy numbers
TL;DR: This work investigates the problem of employing expert opinion to rank alternatives across a set of criteria and employs fuzzy arithmetic to compute an issue's fuzzy ranking.
Journal ArticleDOI
On the analytic formalism of the theory of fuzzy sets
Richard Bellman,Magnus Giertz +1 more
TL;DR: The object of this paper is to show that these definitions of intersection A ∩ B and union A ∪ B of the two fuzzy sets A and B are not only natural, but under quite reasonable assumptions the only ones possible.
Journal ArticleDOI
The median procedure in cluster analysis and social choice theory
TL;DR: Property of median procedures are organized according to four directions: stabilities and axiomatic characterizations; Arrow-like properties; combinatorial properties; effective computational possibilities; and interesting mathematical problems, related to the notion of median are surveyed.