Showing papers in "Fuzzy Sets and Systems in 1991"

TL;DR: It is shown from two examples that the successive identification method of a fuzzy model is very useful for modeling complex systems.

TL;DR: The T-operators are extended to the conventional fuzzy reasoning methods which are based on the min and max operators and provide both a general and a flexible method for the design of fuzzy logic controllers and, more generally, for the modelling of any decision-making process.

TL;DR: The concept of linguistic quantifiers is introduced and some applications of these structures are looked at, particularly concerned with their application to linguistic summarizers, syllogistic reasoning and multi-criteria decision making.

TL;DR: A two-stage construction of a linear regression model is proposed using an enhancement of a minimal vagueness criterion already discussed in fuzzy regression analysis.

TL;DR: A functional measuring the interrelation of intuitionistic fuzzy sets, the so-called correlation of these sets, is defined and a coefficient of such a correlation is introduced and examined to examine its properties.

TL;DR: This second part of an overview of fuzzy set-based methods for approximate reasoning is devoted to deductive approaches dealing with knowledge bases made of a collection of symbolic expressions to which numerical weigths are attached.

TL;DR: In this article, the authors reviewed three basic views of the representation of membership functions, together with fundamental measurement of linguistic terms of linguistic variables, and concluded that such measurements are either on an "ordinal" or an "interval" scale based on whether the appropriate axioms are validated by the empirical data, with an allowance for stochastic variation.

TL;DR: The concepts of fuzzy continuity, product and quotient spaces are presented, and their fundamental properties are obtained in fuzzifying topology.

TL;DR: The binary-state assumption is reserved and the possibility assumption is taken in place of the probability assumption, and a theory of fuzzy reliability (i.e., posbist reliability theory) is established.

TL;DR: In this paper, a general expression of function with random set-valued arguments is stated, which encompasses Zadeh's extension principle as well as functions of random variables, and interval analysis.

TL;DR: The results support that the class of weak t-norms having the Exchange Property seems to be a good model of the conjunction (or equivalently, of intersection) operator in fuzzy set theory.

TL;DR: Four criteria for evaluating fuzzy ranking methods are investigated: fuzzy preference representation, rationality of fuzzy ordering, distinguishability, and robustness; a new, improved ranking method is suggested.

TL;DR: It is argued that the previous method of solving for x, based on the extension principle and regular fuzzy arithmetic, should be abandoned since it too often fails to produce a solution.

TL;DR: This paper presents what it believes to be a straightforward and computationally efficient procedure for dealing with the FLP problem with any general class of nonlinear membership functions.

TL;DR: The quadratic membership functions as defined by A. Celmiņs are considered to propose an identification method of interactive fuzzy parameters in possibilistic linear systems and can be reduced to linear programming, so that it is very easy to obtain the possibillistic distribution of parameters.

TL;DR: In the new method, compound queries composed of keywords with and, or and/or not are processed, and the learning method has been modified to allow fuzzy judgements as well as compound queries.

TL;DR: New models based on fuzzy shortest paths are presented and a general algorithm based on dynamic programming is given to solve the new models and the analysis concepts developed are discussed in terms of general fuzzy mathematical programming.

TL;DR: An introduction to the theory of fuzzy binary relations and some related concepts is presented, including major classes of fuzzy orderings defined and classified with respect to the duality relation.

TL;DR: A survey of point-set lattice-theoretic or poslat topologies is given in this paper, by which we mean (fuzzy) topologies grounded in notions of sets, functions, powersets, and powerset operators.

TL;DR: The aim of this paper is to introduce the notion of a fuzzy subnear-ring, to study fuzzy ideals of a near-ring and to give some properties of fuzzy prime ideals ofA near- ring.

TL;DR: Integrals with respect to Sugeno's fuzzy measures are generalized in the setting of a t-conorm algebraic system and Choquet integrals and Sugeno integrals are discussed.

TL;DR: It is shown that the fuzzy quadratic equation, with real fuzzy number coefficients, always has a (new) solution and the previous solution based on the extension principle is a subset of the new solution.

TL;DR: It is concluded that the performance of the fuzzy logic controller for a given class of plants very much depends upon the choice of the T-operators.

TL;DR: This paper examines recent developments regarding nonprobabilistic measures and principles of uncertainty-based information, which form a nucleus of the emerging generalized information theory.

TL;DR: The problem of aggregating n fuzzy sets F1, F2,.., Fn on a set ω is viewed as one of merging the opinions of n individuals that rate objects belonging to ω, and a number of conditions limiting the choice of fuzzy set operations are proposed and classified according to whether they are imperative, mainly technical, or facultative.

TL;DR: The role of approximate solutions to fuzzy relational equations as a convenient tool to handle probabilistic type of uncertainty and the role of equations in diverse fields of applications making use of an ample framework of general systems theory are studied.

TL;DR: This paper introduces and makes a preliminary study of fuzzy strongly semicontinuous, and fuzzy precontinuous mappings in the fuzzy setting.

TL;DR: In this paper, a general notion of a valued strict preference relation associated with a valued preference relation is introduced, and the transitivity property of such a relation is established, based on the notion of valued strict preferences.