Geodesic
Algebra of fuzzy numbers.
Mathematica Applicanda, Tome 32 (2004) no. 46/05, pp. 37-63.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

An algebra of ordered fuzzy numbers (OFN) is defined. It enables handling fuzzy inputs in a quantitative way, exactly in the same way as for real numbers. Two additional structures, algebraic and normed (topological), are introduced, which make it possible to define a general form of defuzzyfication operators if fuzzy rules are used in a decision process. A useful implementation of a fuzzy calculator is given which allows counting with OFNs of general type membership relations.
DOI : 10.14708/ma.v32i46/05.1237
Classification : Fuzzy set theory
Mots-clés : 03E72 
@article{10_14708_ma_v32i46_05_1237,
     author = {Witold Kosi\'nski and Piotr Prokopowicz},
     title = {Algebra of fuzzy numbers.},
     journal = {Mathematica Applicanda},
     pages = { 37--63},
     publisher = {mathdoc},
     volume = {32},
     number = {46/05},
     year = {2004},
     doi = {10.14708/ma.v32i46/05.1237},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v32i46/05.1237/}
}
TY  - JOUR
AU  - Witold Kosiński
AU  - Piotr Prokopowicz
TI  - Algebra of fuzzy numbers.
JO  - Mathematica Applicanda
PY  - 2004
SP  -  37
EP  - 63
VL  - 32
IS  - 46/05
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/ma.v32i46/05.1237/
DO  - 10.14708/ma.v32i46/05.1237
LA  - pl
ID  - 10_14708_ma_v32i46_05_1237
ER  - 
%0 Journal Article
%A Witold Kosiński
%A Piotr Prokopowicz
%T Algebra of fuzzy numbers.
%J Mathematica Applicanda
%D 2004
%P  37-63
%V 32
%N 46/05
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/ma.v32i46/05.1237/
%R 10.14708/ma.v32i46/05.1237
%G pl
%F 10_14708_ma_v32i46_05_1237
Witold Kosiński; Piotr Prokopowicz. Algebra of fuzzy numbers.. Mathematica Applicanda, Tome 32 (2004) no. 46/05, pp.  37-63. doi : 10.14708/ma.v32i46/05.1237. http://geodesic.mathdoc.fr/articles/10.14708/ma.v32i46/05.1237/

Cité par Sources :