Showing papers on "Fuzzy associative matrix published in 1979"
TL;DR: The results obtained in part I of the paper are specialized to the case of discrete fuzzy random variables and algorithms are derived for determining expectations, fuzzy probabilities, fuzzy conditional expectations and fuzzy conditional probabilities related to discrete fuzzyrandom variables.
491 citations
01 Jan 1979
467 citations
351 citations
TL;DR: The so-called linguistic models that arise from this notation are shown to be extremely useful for modelling highly nonlinear low-order systems and for determining, explicitly, the rules of 'optimal' fuzzy logic controllers.
283 citations
TL;DR: The fuzzy logic controller is reviewed and its parameter are explicitly identified and the problem of initial selection and subsequent adjustment of the parameters are discussed in detail by example.
166 citations
01 Jul 1979-International Journal of Human-computer Studies \/ International Journal of Man-machine Studies
TL;DR: The concepts of truth value restriction and fuzzy logical relation are used to give a general approach to fuzzy logic and also fuzzy reasoning involving propositions with imprecise or vague description.
Abstract: The concepts of truth value restriction and fuzzy logical relation are used to give a general approach to fuzzy logic and also fuzzy reasoning involving propositions with imprecise or vague description.
96 citations
43 citations
01 May 1979-International Journal of Human-computer Studies \/ International Journal of Man-machine Studies
TL;DR: This paper extends the method of approximate reasoning based upon fuzzy logic as proposed by Baldwin (1978) to arguments of a more complex nature, namely those with mixed inputs.
Abstract: In this paper we extend the method of approximate reasoning based upon fuzzy logic as proposed by Baldwin (1978) to arguments of a more complex nature, namely those with mixed inputs. Two approaches are given, both of which have their analogies in ordinary two valued logic.
34 citations
30 citations
TL;DR: The question of solving mathematical relationships involving fuzzy relations and numbers is investigated, first the ordinary mathematical relationship is looked at, then the fuzzy relations are investigated, and the situation where the authors have fuzzy numbers is studied.
Abstract: The question of solving mathematical relationships involving fuzzy relations and numbers is investigated. First we look at ordinary mathematical relationship. Then we investigate fuzzy relations. We then look at fuzzy quadratic equations. Finally, we study the situation where we have fuzzy numbers.
Proceedings Article•
20 Aug 1979TL;DR: The discussion of the fuzzy inferences whose antecedents have fuzzy quantifiers such as "most", "some" and "many" using the authors' new methods for fuzzy conditional inferences is discussed.
Abstract: L. A. Zadeh and E. H. Mamdani proposed methods for the fuzzy reasonig in which the antecedent involves a fuzzy conditional inference "If x is A then y is B" with A and B being fuzzy concepts.
This paper points out that the consequences inferred by their methods do not always fit our intuitions, and suggests some new methods which fit our intuitions under several criteria such as modus ponens and modus tollens. This paper also contains the discussion of the fuzzy inferences whose antecedents have fuzzy quantifiers such as "most", "some" and "many" using our new methods for fuzzy conditional inferences.
TL;DR: In this paper, an application of the linguistic modelling approach to a social-psychological theory about power is presented, in which some problems arose amongst which was a fuzzification tendency.
01 Dec 1979
TL;DR: A unified approach to the theory of fuzzy switching mechanisms, their properties, simplification, enumeration and applicability to the analysis of certain computer science related problems is presented.
Abstract: A fuzzy switching function F over n variables is a mapping from Vn to V , where V represents the closed interval [0,1], such that F is representable by a logic formula defined under the operations of fuzzy algebra. In this paper we present a unified approach to the theory of fuzzy switching mechanisms, their properties, simplification, enumeration and applicability to the analysis of certain computer science related problems.
01 Dec 1979
TL;DR: In this paper, the analysis of closed loop systems in which the state and input variables are finite, discrete, multi-dimensional fuzzy sets is presented and some results pertaining to the asymptotic behaviour of such systems are presented.
Abstract: This paper is concerned with the analysis of closed loop systems in which the state and input variables are finite, discrete multi-dimensional fuzzy sets. Some results pertaining to the asymptotic behaviour of such systems are presented. A small class of feedback control problems is considered and some solutions discussed.