Showing papers in "Fuzzy Sets and Systems in 1983"

TL;DR: A fuzzy version of Saaty's pairwise comparison method (1980) extended by de Graan and Lootsma (1981), adapted in such a way, that decision-makers are asked to express their opinions in fuzzy numbers with triangular membership functions.

TL;DR: F fuzzy logic is suggested, which is the logic underlying approximate or, equivalently, fuzzy reasoning, which leads to various basic syllogisms which may be used as rules of combination of evidence in expert systems.

TL;DR: All known connectives 'and'/'or' for fuzzy sets or some classes can be introduced as t-norms/t-conorms, where Ling's representation theorem is used as a basic tool, and which is illustrated by various known and new examples.

TL;DR: The possibility of the identification of a complete fuzzy decision in fuzzy linear programming by use of the parametric programming technique is presented and it is shown that this fact can be useful in the Zimmermann approach to multiple objective linear programming.

TL;DR: In this paper, a hierarchy of criteria was developed for the evaluation of credit worthiness of customers in the framework of an empirical research project, where 50 credit applications were evaluated by a number of credit managers of banks.

TL;DR: A bijective mapping is defined which turns a probability measure into a possibility measure and corresponds to the usual assignment of identical probability values to elementary events of a given set when no information is available.

TL;DR: If it turns out that random measures have their fuzzy meanings then this paper presents a way to deal with fuzzy measures of fuzzy sets by use of a classical mathematical method, such as measure theory, functional analysis and topology.

TL;DR: The notion of @q-crisp fuzzy numbers is introduced, and, in particular, it is shown that this class of fuzzyNumbers is homeomorphic to the Hilbert cube.

TL;DR: Numerical methods leading to a resolution of fuzzy relational equations which create a formal description of ill-defined systems are discussed and an applicability of the numerical approach is shown in solving some problems in fuzzy systems such as identification and control.

TL;DR: The idea of fuzzy relational equation with generalized connectives is introduced and algorithms of resolution of this class equations are presented in details, showing some types of well-known fuzzy relational equations can be treated as special cases of a wise class of equations under discussion.

TL;DR: This paper suggests a method of multi-dimensional fuzzy reasoning concerned with both modus ponens and modus tollens, and discusses an example to show how the method works.

TL;DR: In this paper, the authors give suitable definitions of the operations of L-fuzzy ideals in a ring, such as intersection, addition, multiplication, and residual division, and prove some fundamental properties of these operations analogous to those that hold for the operation of ordinary ideals.

TL;DR: A new fuzzy topological category FUZZ is defined, which is a significant generalization of previous definitions and is the simplest setting yet constructed into which ordinary topology and these previous definitions may be placed.

TL;DR: The basic idea behind the approaches is to translate the original problem in deterministic terms via tools provided by fuzzy sets theory to get a classical one.

TL;DR: Convergence of powers of a fuzzy transitive matrix is considered and some conditions for convergence are given under the max-min operation on fuzzy matrices, which show graph-theoretic properties of fuzzyMatrices and are useful when the authors consider convergence of systems represented by fuzzy matrix.

TL;DR: In this article, the authors decompose a transitive matrix into the sum of a nilpotent matrix and a symmetric matrix, and obtain a canonical form of the transitive matrices.

TL;DR: In this paper a study of products of fuzzy subgroups is begun, and some results relate the t-norm, used in forming the product, to the strength of the ensuing inequality.

TL;DR: This paper provides a theoretical framework in which currently used geometrical fuzzy clustering algorithms become special cases and a family of functions called feasible are defined which can be used to construct such algorithms and convergence results are obtained.

TL;DR: It appears that the proposed design method for a classifier with linguistic variables as inputs may have potential applications in the areas of 'soft' sciences, including such fields as medicine and medical diagnostics.

TL;DR: In this paper, it was shown that the canonical topology of the real line is uniformizable in the sense of Hutton and Sarkar, and furthermore, this uniformity induces a pseudometric which induces the topology.

TL;DR: A study in which fuzzy diagnosis models were computerized, validated and compared with a mock physician hypothesis as well as existing mathematical models, showing that a fuzzy systems approach is not only practical but results in models of greater validity than those based on classical set theoretic approaches.

TL;DR: In this paper, the authors use fuzzy information on the pairwise rank-ordering between the objectives, which often appears more reasonable than so-called 'crisp' quantitive statements, especially for practical problems.

TL;DR: In this paper, some algorithms which have minimization properties about the fuzziness of solutions in the maxmin fuzzy relation equations are introduced.

TL;DR: F fuzzy reflexive, symmetric and transitive relations on fuzzy subsets are studied and the possible fuzzy partitioning of a fuzzy subset is investigated.

TL;DR: In this article, it was shown that there exists a simpler description of @?(L) and its fuzzy topology than the one given by Hutton and Rodabaugh.

TL;DR: In this paper a generalisation of fuzzy relations is introduced - fuzzy relations are defined on fuzzy subsets and properties like ordered reflexivity, symmetry, transitity, transitive closures of such generalised relations and operations on them are discussed.

TL;DR: The purpose of this paper is to document the results of an ongoing research effort which combines the generalized network concept with the technique of fuzzy programming and the resultant, hybrid approach has been found to provide a computationally efficient approach to multi-objective zero-one (or integer) programming problems.

TL;DR: A new solution of the vectormaximum problem will be defined in terms of fuzzy mathematics and may be called the fuzzy solution, which will overcome difficulties which appear if otherwise solved by nonfuzzy mathematics.

TL;DR: The identification procedures discussed are based on some ideas of iterative clustering techniques (ISODATA and FUZZY C-MEANS) which lead to a concrete method of determination of probabilistic sets.

TL;DR: A simple and fast algorithm for identification of a Sugeno fuzzy measure is presented based on the relation between fuzzy measures and Lebesgue measure.