Fuzzy numbers, definitions and properties.

Delgado, Miguel, Verdegay, José Luis, and Vila, M. Amparo. "Fuzzy numbers, definitions and properties.." Mathware and Soft Computing 1.1 (1994): 31-43. <http://eudml.org/doc/39018>.

@article{Delgado1994,
abstract = {Two different definitions of a Fuzzy number may be found in the literature. Both fulfill Goguen's Fuzzification Principle but are different in nature because of their different starting points.The first one was introduced by Zadeh and has well suited arithmetic and algebraic properties. The second one, introduced by Gantner, Steinlage and Warren, is a good and formal representation of the concept from a topological point of view.The objective of this paper is to analyze these definitions and discuss their main features.},
author = {Delgado, Miguel, Verdegay, José Luis, Vila, M. Amparo},
journal = {Mathware and Soft Computing},
keywords = {Números difusos; Principio de extensión; fuzzy numbers; arithmetical and topological questions},
language = {eng},
number = {1},
pages = {31-43},
title = {Fuzzy numbers, definitions and properties.},
url = {http://eudml.org/doc/39018},
volume = {1},
year = {1994},
}

TY - JOUR
AU - Delgado, Miguel
AU - Verdegay, José Luis
AU - Vila, M. Amparo
TI - Fuzzy numbers, definitions and properties.
JO - Mathware and Soft Computing
PY - 1994
VL - 1
IS - 1
SP - 31
EP - 43
AB - Two different definitions of a Fuzzy number may be found in the literature. Both fulfill Goguen's Fuzzification Principle but are different in nature because of their different starting points.The first one was introduced by Zadeh and has well suited arithmetic and algebraic properties. The second one, introduced by Gantner, Steinlage and Warren, is a good and formal representation of the concept from a topological point of view.The objective of this paper is to analyze these definitions and discuss their main features.
LA - eng
KW - Números difusos; Principio de extensión; fuzzy numbers; arithmetical and topological questions
UR - http://eudml.org/doc/39018
ER -