1,333 research outputs found

    Transitive Closure of Interval-valued Relations

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    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 (S,T)(S,T)-fuzzy HvH_v-submodules

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    On the basis of the concept of the interval valued intuitionistic fuzzy sets introduced by K.Atanassov, the notion of interval valued intuitionistic fuzzy HvH_v-submodules of an HvH_v-module with respect to tt-norm TT and ss-norm SS 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 (S,T)(S,T)-fuzzy HvH_v-submodules and interval valued intuitionistic (S,T)(S,T)-fuzzy submodules are discussed

    Consensus theories: an oriented survey

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    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

    On IVF Approximating Spaces

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    We introduce the concept of IVF approximating spaces and obtain decision conditions that every IVF topological space is an IVF approximating space
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