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Showing papers in "Fuzzy Sets and Systems in 1989"


Journal ArticleDOI
TL;DR: Two news operators on intuitionistic fuzzy sets are defined and their basic properties are studied to introduce new results on intuitionism fuzzy sets.

1,238 citations


Journal ArticleDOI
TL;DR: In this paper, the nonadditivity of Sugeno's fuzzy measures is interpreted in terms of addition and the rationality of the Choquet integral is discussed, and it is pointed out that a fuzzy measure on a set X expresses the interaction between the subsets of X and can be represented by an additive measure.

596 citations


Journal ArticleDOI
TL;DR: In this article, a modification of the fuzzy multi-criteria method proposed by Van Laarhoven and Pedrycz (1983) is presented, where the weights of the decision criteria are calculated by the minimization of a logarithmic regression function.

514 citations


Journal ArticleDOI
TL;DR: Some properties of the index are studied, as well as its behaviour on several particular cases, which are related to the relative importance of the different level sets.

335 citations


Journal ArticleDOI
TL;DR: In this paper, the spaces of convergent and bounded sequences of fuzzy numbers have been discussed, and the convergence and bounded spaces of fuzzy sequences have been studied in the context of fuzzy counting.

299 citations


Journal ArticleDOI
TL;DR: The aim of this paper is to describe the more important problems in fuzzylinear programming and to give a general model of fuzzy linear programming problems involving all of the above ones, and a resolution method for that general model is proposed.

297 citations


Journal ArticleDOI
TL;DR: In this article, the authors considered linear programming problems with fuzzy constraints and fuzzy coefficients in both matrix and right hand side of the constraint set are considered, and the diversity of such methods provides a lot of different models from which fuzzy solutions to the former problem can be obtained.

240 citations


Journal ArticleDOI
TL;DR: Part I of this paper shows a number of examples of existing t-norms and t-conorms which are known as good models of fuzzy set-theoretic intersection and union, and then the pictorial representations are made with the aid of a computer.

229 citations


Journal ArticleDOI
TL;DR: A zero-sum two-person game with imprecise values in its matrix of payoffs is considered and a method for its solution based on the establishment of a Fuzzy Linear Programming problem for each player is proposed.

220 citations


Journal ArticleDOI
TL;DR: A new method for solving linear programming problems with fuzzy parameters in the objective function where the information contained in the membership functions can be used to any extent by a method called ‘α-level related pair formation’.

220 citations


Journal ArticleDOI
TL;DR: It is shown that arithmetic of fuzzy complex numbers may be performed in terms of α-cuts and closure under the basic arithmetic operations is shown.

Journal ArticleDOI
TL;DR: A general look at core ideas that make up the burgeoning body of Fuzzy mathematical programming emphasizing the methodological view is taken.

Journal ArticleDOI
T. Yamakawa1
TL;DR: A high-speed fuzzy controller hardware system employing Min-Max operations is presented and can be applied to attitude control of a space booster rocket and satellite, an automatic aircraft landing system, pattern recognition, stabilization of nuclear fuel rods in a reactor, an intelligent sensor, and many other applications which need swift approximate reasoning.

Journal ArticleDOI
TL;DR: In this paper, the authors present some results of variational inequalities for fuzzy mappings in locally convex Hausdorff topological vector spaces, which generalize some recent results.

Journal ArticleDOI
TL;DR: A solution to certain possibilistic linear programming problems which have been previously introduced in [1] is presented.

Journal ArticleDOI
TL;DR: The concept of an integral of a fuzzy mapping is introduced that generalises the integral introduced by Matloka and also extends Riemann-Stieltjes integral over a closed interval to fuzzy mappings.

Journal ArticleDOI
TL;DR: Based on the proposed methods for multiobjective linear, linear fractional and nonlinear programming problems with fuzzy parameters, interactive computer programs are developed and an illustrative numerical example for nonlinear case is demonstrated.

Journal ArticleDOI
TL;DR: This paper is concerned with an experimental study of fuzzy algorithmic control of a model car equipped with ultrasonic sensing devices and a micro-computer.

Journal ArticleDOI
TL;DR: An interactive fuzzy satisficing method for multiobjective nonlinear programming problems with fuzzy numbers that can be derived efficiently from among an M-α-Pareto optimal solution set is presented.

Journal ArticleDOI
TL;DR: Fuzzy adaptive control of a first-order process with a varying gain and time constant is demonstrated and two different fuzzy identification algorithms are both shown to provide a successful fuzzy adaptive controller.

Journal ArticleDOI
TL;DR: In this paper, the authors studied the structure of Brouwer-zadeh (or BZ-) poset, i.e. a poset endowed with two non-usual orthocomplementations.

Journal ArticleDOI
TL;DR: It is shown that a closed subset is compact if and only if it is uniformly support-bounded and the corresponding set of support functions is equileftcontinuous in the membership grade variable.

Journal ArticleDOI
TL;DR: It is shown that there exists a correspondence between fuzzy equivalence relations and certain classes of fuzzy subsets and there are certain lattice theoretic properties of fuzzy equivalences relations on a set.

Journal ArticleDOI
TL;DR: The linear fuzzy controller is precisely equivalent to a linear non-fuzzy PI controller if mixed fuzzy logic is used to evaluate the control rules, when the fuzzy logics used are selected with due regard to prior associations implied by the control rule operands themselves.

Journal ArticleDOI
TL;DR: In this article, pictorial representations of t-norms, t-conorms and averaging operators were made with the aid of a computer and generalized compensatory operators which can be obtained from averaging operators.

Journal ArticleDOI
TL;DR: This paper presents a short analysis of formal properties of the interval-valued fuzzy inference method described in [5], concerned with the so-called good-mapping property (GMP) and α-good-mappers property (α-GMP).

Journal ArticleDOI
TL;DR: This paper examines the maximal errors of seventy-two implication operators with various membership functions in several typical cases and shows five operators which have very good performance in fuzzy inference.

Journal ArticleDOI
TL;DR: Any rough set can be expressed by means of a membership function U → {0, 0.5, 1}.

Journal ArticleDOI
TL;DR: A very fast method of ranking alternatives using fuzzy numbers discussed in [1] and [2] is shown.

Journal ArticleDOI
TL;DR: Algorithms for the design and implementation of fuzzy logic controllers and results of their application to temperature control of a heated air-stream are presented.