Showing papers in "Fuzzy Sets and Systems in 1987"

TL;DR: F fuzzy-set-valued mappings of a real variable whose values are normal, convex, upper semicontinuous and compactly supported fuzzy sets in Rn are studied and the existence and uniqueness theorem for a solution to a fuzzy differential equation is given.

TL;DR: This method allows a formal, fuzzy representation to be built for verbal decision algorithms and can have an effective computer representation.

TL;DR: Generalizations to fuzzy integral equations and fuzzy functional differential equations are indicated and the extension principle and the use of extremal solutions of deterministic initial value problems are applied.

TL;DR: Some light is shed on the debate between probability and possibility theory, and the problem of how to carry measure-theoretic notions into the field of possibility theory.

TL;DR: The vertex method can avoid abnormality due to the discretization technique on the variables domain and the widening of the resulting function value set due to multi-occurrence of variables in the functional expression by conventional interval analysis methods.

TL;DR: A computational algorithm based on the α-cut representation of fuzzy sets and interval analysis is described which provides a discrete but exact solution to extended algebraic operations in a very efficient and simple manner.

TL;DR: An additive model to solve Fuzzy Goal Programming (FGP) is formulated that uses arithmetic addition to aggregate the fuzzy goals to construct the relevant decision function.

TL;DR: Since fuzzy data can be regarded as distribution of possibility, fuzzy data analysis by possibilistic linear models is proposed in this paper and can be considered as fuzzy interval analysis.

TL;DR: This paper develops fuzzy analogues of the elementary compound interest problems in the mathematics of finance, and develops a method of comparing fuzzy net cash flows in order to rank fuzzy investment alternatives from best to worst.

TL;DR: These new concepts are illustrated and discussed in the context of an example from a terminal ballistics problem, where the least squares model fitting to the described fuzzy vector data deviates in important aspects from ordinary least squares.

TL;DR: An overview of information measures recently introduced by several authors in the settting of Shafer's theory of evidence is proposed, and a ‘principle of minimal specificity’ is stated for the purpose of reconstructing a body of evidence from incomplete knowledge.

TL;DR: The notion of twofold fuzzy sets was introduced in this article, where the relevant information for determining the membership status is incomplete and the notion of fuzzy sets are used to represent sets where the membership of some elements may be ill-known rather than just a matter of degree.

TL;DR: F fuzzy extreme solutions are computed and are presented to the decision maker and each of the proposed compromise solutions are fuzzy-efficient.

TL;DR: It is shown that the generalized notion (probabilistic approximate classification) of rough sets can be conveniently described by the concept of fuzzy sets and argued that there does not exist a universal definition for the fuzzy intersection (union) operation.

TL;DR: It is argued in this paper that each of the four types of uncertainty measures can be used for measuring structural (syntactic) information in the same sense as the Hartley and Shannon measures have been used in this respect.

TL;DR: In this article, the authors extend Heilpern's fixed point theorem for fuzzy contraction mappings to a pair of generalized fuzzy expansion mappings and prove a fixed-point theorem for nonexpansive fuzzy mappings on a compact star-shaped subset of a Banach space.

TL;DR: A support logic programming system which generalises logic programming to the case in which various forms of uncertainty can be included is described and its use in providing recursive definitions of fuzzy concepts are given.

TL;DR: The aim of this paper is to characterise regular rings and Noetherian rings by fuzzy ideals and to determine all fuzzy prime ideals of the ring Z of integers.

TL;DR: Several measures of the degree of consistency are analyzed and an axiomatic to characterize them are introduced and considered as a fuzzy property relative to the coherence between possibilistic and probabilistic information.

TL;DR: In this paper, it was shown that using only the properties of symmetry, additivity and subadditivity the problem of uniqueness can be reduced to finding linear functionals on the space of functions analytic at origin.

TL;DR: In this paper, the problem of incorporating possibilistic data into a multiple objective linear programming framework is considered and a solution concept that is attractive from the standpoints of feasibility and efficiency is specified.

TL;DR: In this article, the proceedings of a two-week-long institute with learned contributors from many parts of the world have been published and the authors have discussed models and methods taken from a number of different disciplines.

TL;DR: In this article, it was shown that the U -uncertainty measure of the Shannon measure satisfies possibilistic counterparts of axioms of the well established Shannon and hartley measures of uncertainty and information.

TL;DR: The relationship between fuzzy programming and stochastic programming is determined and equivalent precise analogues are derived for these problems.

TL;DR: Fuzzy Prolog as mentioned in this paper is a programming language based on the first-order predicate calculus, which has been widely used in artificial intelligence research and has a powerful language with breadth-first and depth-first search capabilities.

TL;DR: A method of decision classification is described which constructs a numerical tabular knowledge base from historical cases, and derives inferences from particular case histories using discrimination and connectivity analyses which are based on a theory of fuzzy relations.

TL;DR: A decision rule based on the so-called interval-valued fuzzy method of approximate inference is presented and a comparison of effectiveness is made between the two decision rules in selected signal transmission problems.

TL;DR: A notion of fuzzy proximity which behaves well with respect to the fuzzy uniformities introduced by R. Lowen is introduced and some related results are proved.

TL;DR: The category of fuzzy modules is introduced and the construction of fuzzy finitely generated modules, in which the fuzzy value distribution is finite, is discussed.

TL;DR: This paper presents an application of the set partitioning (set covering with equality constraints) type of integer programming formulation to a discrete location problem with fuzzy accessibility criteria and uses the symmetry of the objectives and the constraints introduced by Bellman and Zadeh.