Showing papers in "Fuzzy Sets and Systems in 1978"

TL;DR: It is shown that solutions obtained by fuzzy linear programming are always efficient solutions and the consequences of using different ways of combining individual objective functions in order to determine an “optimal” compromise solution are shown.

TL;DR: It is shown that unfuzzy nondominated solutions to the decision-making problem exist, provided the original fuzzy relation satisfies some topological requirements, and a simple method of calculating these solutions is indicated.

TL;DR: An analysis is performed of the fuzzy logic controller which results in the identity between this controller and a multilevel relay, which is used in stability analysis.

TL;DR: A method for measuring the relativity of fuzziness by structuring the functions of a system hierarchically in a multiple objective framework and composing the eigenvectors into a priority vector which measures the fuzziness of the elements in the lowest level of the hierarchy.

TL;DR: A new definition of transitivity for fuzzy relations yields a relation-theoretic characterization of the class of all psuedo-metrics on a fixed data set into the closed unit interval.

TL;DR: In this paper, relations from the theory of probability are compared with corresponding relations in theory of possibility, and it is shown that for purposes of inference, relations representing conditional possibility distributions should be used.

TL;DR: Rec reciprocal relations over n alternatives are defined, and their efficacy as a model of the group decision process is investigated, and an application of this model for assessing degree of consensus is given.

TL;DR: A unified presentation of classical clustering algorithms is proposed both for the hard and fuzzy pattern classification problems, and two coefficients that measure the “degree of non-fuzziness” of the partition are proposed.

TL;DR: A certain interpretation of a partially fuzzy LP-Problem is proposed and the corresponding variables of the Dual are analyzed and an economic interpretation is given.

TL;DR: Algorithms for the determination of the greatest eigen fuzzy set associated with a given fuzzy relation, thinking of medical diagnosis applications are described.

TL;DR: This work establishes a necessary and sufficient condition, under which fuzzy topologies are probabilistically uniformisable, and applications of this result to normal fuzzy topology are given.

TL;DR: The multistage control of a deterministic and stochastic system in a fuzzy environment is considered, with fuzzy decision assumed to be the intersection of fuzzy constraints and a fuzzy goal.

TL;DR: It is shown that, in order to be consistent with the notion of noninteraction of fuzzy variables, the expression for conditional possibility distribution must be normalized.

TL;DR: A survey of some aspects of many-valued logics and the theory of fuzzy sets and fuzzy reasoning, as advocated in particular by Zadeh, and shows that their definition is sound if some acceptable rationality requirements are demanded.

TL;DR: As will be proved, this algebra is not a lattice and consequently the Zadeh definitions do not constitute an adequate representation, and a new system of symbols is proposed in this paper.

TL;DR: The concept of a fuzzy subobject of an object in arbitrary categories, generated by the representation theorem of fuzzy sets, is defined and it is proved that C -sets can be represented by some sets of functors.

TL;DR: In this article, the authors argue that a practically relevant decision theory must be based on the concept of possibility, and that the contemplation of possibility is quite as relevant as the usual concentration on utility and probability.

TL;DR: Kauffman's fuzzy morphisms are considered and their properties are described by means of compatible tolerance relations and related mappings.