Selected problems in the theory of fuzzy sets

• Autorzy: Stanisław Heilpern
• Języki publikacji: EN

Abstrakty

EN

From the introduction: "This paper contains a review of fundamental concepts and theorems of some areas of fuzzy mathematics, and an example of their application to the theory of decision making. Elementary definitions and properties of fuzzy sets are introduced in Chapters 1 and 2 [see L. A. Zadeh, Informat. and Control 8 (1965), 338–353; MR0219427]. Chapter 3 contains rudiments of fuzzy topology as presented by C. L. Chang [J. Math. Anal. Appl. 24 (1968), 182–190; MR0236859] and C. K. Wong [ibid. 43 (1973), 697–704; MR0324613; ibid. 45 (1974), 512–521; MR0341366]. Subsequent chapters deal with fuzzy probabilistic measures on the σ-field of fuzzy sets and contain original results of the author. In the last chapter the author discusses the concepts of fuzzy programming based on papers of R. Bellman and Zadeh [Management Sci. 17 (1970/71), B141-B164; MR0301613], and C. V. Negoiţă and D. A. Ralescu [Applications of fuzzy sets to systems analysis, English translation, Wiley, New York, 1975; MR0490082].''

PL

.

Słowa kluczowe

EN

Stochastic games, stochastic differential games; Stochastic programming; Fuzzy sets and logic

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1980
• Tom: 8
• Numer: 16

Daty

wydano

1980

online

1981-02-01

Twórcy

autor

Stanisław Heilpern

Identyfikatory

DOI

10.14708/ma.v8i16.1467