Kybernetes: Volume 6 Issue 3

HIERARCHICAL SYSTEMS AND FUZZY‐SET THEORY

M.A. POLLATSCHEK

Levels of hierarchical systems are characterized by different degrees of detail and are capable of mathematical modeling with the aid of the fuzzy‐set theory. The degree of…

SOCIAL CHOICE AND SELF‐ORGANIZATION UNDER FUZZY MANAGEMENT

V.D. DIMITROV

A complex human system, whose description is only possible in a fuzzy way, was put into correspondence with management in the form of fuzzy instructions, which expressed…

A MODEL OF LEARNING BASED ON FUZZY INFORMATION

M. SUGENO, T. TERANO

Using fuzzy measures and fuzzy integrals, the paper presents a mathematical model of learning which is able to learn through fuzzy information. The characteristics of the model…

APPLICATION OF FUZZY LANGUAGES TO PATTERN RECOGNITION

E.T. LEE

The concept of a fuzzy language is applied to pattern recognition using geometric figures, chromosomes and leukocytes as illustrative examples. For chromosomes, an algorithm for…

TOLERATING FUZZINESS IN KEYWORDS BY SIMILARITY SEARCHES

H.J. SCHEK

One feature of a user‐friendly system is the capability to tolerate fuzziness in the form of names or keywords. The following remarks are a first step towards a model for the…

ON DISCRIMINATION OF FUZZY STATES IN PROBABILITY SPACE

K. ASAI, H. TANAKA, T. OKUDA

This paper deals with the discrimination problem of the states which involve two types of uncertainty: “randomness” and “fuzziness.” This problem is very important in the fields…

ON FUZZY OPTIMIZATION

C.V. NEGOITA, D.A. RALESCU

By fuzzy optimization we here mean optimization in a fuzzy environment, i.e., optimization with fuzzy constraints. Such a problem can be reduced to a family of ordinary…

ON PROGRAMMING WITH FUZZY CONSTRAINT SETS

S.A. ORLOVSKY

Two solution concepts for a FMP problem are suggested. The first one makes use of level sets of the fuzzy set of feasible alternatives. The second solution is based on the concept…

APPLICATION OF FUZZY SET THEORY TO ECONOMICS

S.S.L. CHANG

Fuzzy set theory is applied to three areas of economic modeling, economic forecasting and economic policy. In modeling it gives expression to the fact that after structural…

FUZZY SET SIMULATION MODELS IN A SYSTEMS DYNAMICS PERSPECTIVE

F. WENSTØP

This paper introduces and discusses the concept of verbally formulated simulation models. Such models can operate with linguistic values as “high,” “rather high,” “low” and “not…

ON THE CONVERGENCE OF ENTROPY MEASURES OF A FUZZY SET

ALDO DE LUCA, SETTIMO TERMINI

Entropy measures of a fuzzy set defined on a denumerable support are studied. A necessary and sufficient condition for the convergence of the logarithmic entropy is given. Some…