Showing papers in "Fuzzy Sets and Systems in 1986"

TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.

TL;DR: This paper shall view fuzzy numbers in a topological vector space setting using the customary vector space operations together with the metric given in [4] to define differentiation and integration of fuzzy-valued functions in ways that parallel closely the corresponding definitions for real differentiation and Integration.

TL;DR: It is shown that the proposed representation exists for certain families of the conjugate pairs of t-norms and t-conorms and resolves some of the difficulties associated with particular interpretations of conjunction, disjuntion, and implication in fuzzy set theories.

TL;DR: Using the fuzzy majority rule specified by a fuzzy linguistic quantifier, a calculus of linguistically quantified propositions is applied and various solution concepts are derived, mainly of the type of core, minimax (opposition) set and consensus winner.

TL;DR: The suggested method is applied for the modelling and control of a multilayer incinerator and the designed fuzzy controller is tested by computer simulation using the identified process model.

TL;DR: It is shown that the method is capable of generating membership functions in accordance with the possibility-probability consistency principle for fuzzy sets whose elements have a defining feature with a known probability density function in the universe of discourse.

TL;DR: This method for solving a multicriteria linear program where the coefficients of the objective functions and the constraints are fuzzy numbers of the L-R type is elaborated with a view to the application to the development of a water supply system.

TL;DR: An LP model in which the parameters are not fully known, only with some degree of precision is developed, and it is shown that the model can be parametrised in such a way that the optimal solution becomes a function of the degree of Precision.

TL;DR: Some fundamental properties of fuzzy binary relations and certain conditions of reasonable orderings of fuzzy Utilities are introduced and a method for constructing a fuzzy preference relation on a given set of fuzzy utilities is proposed for the sake of rational decision making.

TL;DR: In this paper, an alternative characterization of the extension principle of fuzzy sets is proposed based on using relations to represent mappings, and they apply this new characterization to develop an extension for non-deterministic mappings.

TL;DR: It is shown that Sugeno's fuzzy integral is a particular case of them and they are studied to study their principal properties.

TL;DR: All four designs yield comparable (usually within 4%) error rates; the Fuzzy c-Means (FCM) based k-NNR is usually the best design; the FCM/1-NPR is the most efficient and perhaps most useful of the four designs; and finally, that generalized NNR's are an important and useful extension of the conventional ones.

TL;DR: The concept of risk evaluation, using linguistic representation of the likelihood of the occurrence of a hazardous event, exposure, and possible consequences of that event, and the approximate reasoning technique based on fuzzy logic is used to derive fuzzy values of risk.

TL;DR: This paper introduces priority structure in Fuzzy Goal programming and utilizes the lexicographic order of Goal Programming and yields an efficient computational algorithm for solving FGP.

TL;DR: A fuzzy rule based expert production system that accepts as input a fuzzy vector all of whose components are fuzzy sets, and produces as output a fuzzy set of conclusions.

TL;DR: Several theorems which extend the possible effective application of Orlovsky's concept of decision-making on a finite set of alternatives with a fuzzy preference relation for optimization of many decision problems are formulated and proved.

TL;DR: The solution of these equations is discussed and it is pointed out that [email protected]?

TL;DR: It is shown that all fuzzy aggregation rules which have non-narrow domains and which satisfy the fuzzy counterparts of independence of irrelevant alternatives and Pareto criterion are characterized by a distribution of 'veto' power which would be generally considered undesirable.

TL;DR: In this paper, the authors discuss different constructions of integrals based on @?decomposable measures (Sections 3 and 4) and discuss some applications of the use of the two integrals.

TL;DR: It is shown that the attitude of the responders to the questionnaire in each country is well explained with its hierarchical structure obtained by fuzzy measure analysis.

TL;DR: For establishing optimality criteria of testing, the definition of probability of a fuzzy event is used in order to extend both Neyman-Pearson and Bayes theories, to the fuzzy framework, and the goodness of optimal procedures in both the fuzzy and the nonfuzzy situation is compared for each criterion.

TL;DR: The problem of processing and combining possibilistic information in the scope of linear programming is approached using the concepts of ‘more possible value’, ‘α-possibly feasible action’ and ‘ α-possibly efficient action‘.

TL;DR: Some aspects of manipulation of fuzzy data with the aid of fuzzy relational equations are considered and two stages of manipulation process are indicated: combining pieces of evidence and inferring their mutual correspondence.

TL;DR: In this paper, logical cluster-analytic techniques for inducing inference relationships between fuzzy truth values and the probability of their being correct are presented. Butler et al. present an information-theoretic measure of the uncertainty reduction due to a hypothesized relation is used to determine the optimum trade-off and compare hypotheses.

TL;DR: A surprising result is that fuzzy functions take their values from the complemented elements of a Brouwerian lattice, suggesting that fuzzy set theory is more than just a generalization of ordinary set theory.

TL;DR: The superiority of fuzzy regression in comparison to usual regression in the case of heterogenous observations is indicated, and it is proved that in one- and two-dimensional cases, the formulae are analogous to those for usual regression.

TL;DR: This paper proposes the problem of finding a max-min transitive relation as near as possible to a given initial preference relation, under the least-squares criterion and such that it does not introduce deep qualitative changes.

TL;DR: In this article, the problem of the reconstruction of a fuzzy topological space or a fuzzy neighbourhood space from an a priori given family of level-topologies is discussed, and necessary and sufficient conditions for the existence of a solution are given.

TL;DR: An extension of the conventional dynamic programming model introduced by Bellman to the fuzzy case is considered and two fuzzy dynamic programming models are developed and converted into algo r performance of these algorithms is compared to two others based on heuristics.