Search results for "Fuzzy measure"
showing 8 items of 8 documents
Decomposable Measures and Measures of Information for Crisp and Fuzzy Sets
1983
Abstract There exist bijections between the decomposable informations of Kampe de Feriet and Forte (1967a) and the decomposable measures of Weber (1982). Using integrals for Archimedean decomposable operations, introduced by Weber (1982), informations and measures of this type are extended from crisp to fuzzy sets. For ∨-decomposable measures, Sugeno’s (1974) integral is used. For ∧-decomposable informations, Nguyen’s (1977) construction and a modification are discussed.
On a multiplication and a theory of integration for belief and plausibility functions
1987
Abstract Belief and plausibility functions have been introduced as generalizations of probability measures, which abandon the axiom of additivity. It turns out that elementwise multiplication is a binary operation on the set of belief functions. If the set functions of the type considered here are defined on a locally compact and separable space X , a theorem by Choquet ensures that they can be represented by a probability measure on the space containing the closed subsets of X , the so-called basic probability assignment. This is basic for defining two new types of integrals. One of them may be used to measure the degree of non-additivity of the belief or plausibility function. The other o…
Fuzzy methods for analysing fuzzy production environment
1998
Abstract Very recently, in production management research literature, the necessity to extend production systems analysis techniques, such as queue theory, Mean Value Analysis (MVA) and discrete simulation, to Fuzzy Production Environments, i.e. to those production situations in which data are vague, has emerged. Fuzzy set theory is a powerful tool to model vagueness and, therefore, fuzzy mathematics can be used to extend classical production system analysis techniques. This paper proposes a methodology based on fuzzy relation algebra to extend classical MVA and discrete event simulation.
A theory of spatial general equilibrium in a fuzzy economy
1984
Let an economic space be characterized by the existence of a given distribution of locations, i.e. consumers' residential locations and producers' plants. It is equipped with a system of prices. The economy is fuzzy because the economic behaviors of agents are imprecise. In this context, spatial partial equilibria theories are applications of a fuzzy economic calculation model. The aim of the present paper is to study the conditions which must be fulfilled in order that the compatibility of consumers' equilibria and producers' equilibria be verified. Mathematical tools are Butnariu's theorems which extend the Brouwer's and Kakutani's theorems to the cases of fuzzy functions and fuzzy point-…
A Few Remarks on the Roots of Fuzziness Measures
2012
In the forty years from the introduction of Fuzzy Entropy, fuzziness measures has been employed in many different fields pertaining both hard and soft sciences, from medicine to art, from engineering to linguistics. If we look back at the road traveled, we can safely state that on of the main reasons for this enduring presence, and maybe the most underrated, is the truly uniqueness of the concept of fuzziness. Far from a reminiscence, this consideration is more of a projection on the future of fuzziness: we strongly believe that the innovation implicit in the concept, while having sometime hindered in the past its perception as a powerful paradigm and tool for the hard science community, wi…
Fuzzy expected utility
1984
Decision making under uncertainty requires not only measures of the uncertainty of situations that we try to recognize , but also an estimate of the imprecision from which they are determined. This imprecision can be the result either of a lack of exactness in the measure of the elements which are necessary to the determination of the states of nature or the purely subjective interpretation of these states. Through a subjective measure of the non-measurable imprecision, the purpose of the fuzzy expected utility, which is investigated, is to translate with a great accuracy the imprecise behaviour of the decision-maker in an uncertain world. Consequently we propose to introduce first the prob…
A Combined Fuzzy Semantic Similarity Measure In Owl Ontologies
2008
An algorithm is presented in this paper to calculate a semantic similarity measure inside an OWL ontology. The formulation is based on a combined measure taking into account the two most important aspects involved in the similarity computation. These are the structural properties of a concept, and the information content inside the ontology. We define a fuzzy system to blend these information sources with a training process over some ontologies. Finding a similarity measure between concepts of an ontology is a fundamental topic to accomplish information exchange on the Web. Through this measure it is possible to perform sophisticated queries over the web where the user is able to request co…
Valutazione multicriteriale del saggio di capitalizzazione per la revisione del catasto degli immobili urbani - Capitalization rate multidimensional …
2013
The new revision of the land register is intended to give each real estate unit an assessed value which approximates the market value. The provided approach has statistical nature. However, in the absence of a well-established market, the coming reform requires the use of the indirect estimation procedure.This paper proposes a method for estimating the capitalization rate that could usefully be applied in mass appraisal. The proposed model for the evaluation of the capitalization rate is intended as an alternative to traditional inferential processes that apply in real estate market. It can be used even in market segments that are not enough active and does not require the use of technical …