Selected problems in the theory of fuzzy sets

Stanisław Heilpern. "Selected problems in the theory of fuzzy sets." Mathematica Applicanda 8.16 (1980): null. <http://eudml.org/doc/293357>.

@article{StanisławHeilpern1980,
abstract = {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].''},
author = {Stanisław Heilpern},
journal = {Mathematica Applicanda},
keywords = {Stochastic games, stochastic differential games; Stochastic programming; Fuzzy sets and logic},
language = {eng},
number = {16},
pages = {null},
title = {Selected problems in the theory of fuzzy sets},
url = {http://eudml.org/doc/293357},
volume = {8},
year = {1980},
}

TY - JOUR
AU - Stanisław Heilpern
TI - Selected problems in the theory of fuzzy sets
JO - Mathematica Applicanda
PY - 1980
VL - 8
IS - 16
SP - null
AB - 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].''
LA - eng
KW - Stochastic games, stochastic differential games; Stochastic programming; Fuzzy sets and logic
UR - http://eudml.org/doc/293357
ER -