1,284 research outputs found
Transitive Closure of Interval-valued Relations
This paper introduces some concepts of intervalvalued fuzzy relations and some of their properties: reflexivity, symmetry,
T-transitivity, composition and locally reflexivity. It is also introduced the concept of T-transitive closure for an interval-valued fuzzy relation. An algorithm to compute the T-transitive closure of finite interval-valued relations, some properties and some examples are given.Peer ReviewedPostprint (published version
Interval valued intuitionistic -fuzzy -submodules
On the basis of the concept of the interval valued intuitionistic fuzzy sets
introduced by K.Atanassov, the notion of interval valued intuitionistic fuzzy
-submodules of an -module with respect to -norm and -norm
is given and the characteristic properties are described. The homomorphic
image and the inverse image are investigated.In particular, the connections
between interval valued intuitionistic -fuzzy -submodules and
interval valued intuitionistic -fuzzy submodules are discussed
Consensus theories: an oriented survey
This article surveys seven directions of consensus theories: Arrowian results, federation consensus rules, metric consensus rules, tournament solutions, restricted domains, abstract consensus theories, algorithmic and complexity issues. This survey is oriented in the sense that it is mainly – but not exclusively – concentrated on the most significant results obtained, sometimes with other searchers, by a team of French searchers who are or were full or associate members of the Centre d'Analyse et de Mathématique Sociale (CAMS).Consensus theories ; Arrowian results ; aggregation rules ; metric consensus rules ; median ; tournament solutions ; restricted domains ; lower valuations ; median semilattice ; complexity
Fifty years of similarity relations: a survey of foundations and applications
On the occasion of the 50th anniversary of the publication of Zadeh's significant paper Similarity Relations and Fuzzy Orderings, an account of the development of similarity relations during this time will be given. Moreover, the main topics related to these fuzzy relations will be reviewed.Peer ReviewedPostprint (author's final draft
Existence of Order-Preserving Functions for Nontotal Fuzzy Preference Relations under Decisiveness
Looking at decisiveness as crucial, we discuss the existence of an order-preserving function
for the nontotal crisp preference relation naturally associated to a nontotal fuzzy preference relation.
We further present conditions for the existence of an upper semicontinuous order-preserving function
for a fuzzy binary relation on a crisp topological space
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