Open AccessConditional operations on fuzzy numbers
Author(s) -
Kh. O. Nykyforchyn
Publication year - 2013
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.5.1.110-113
Subject(s) - mathematics , fuzzy number , fuzzy logic , multiplication (music) , fuzzy mathematics , defuzzification , variable (mathematics) , joint probability distribution , fuzzy set operations , fuzzy classification , arithmetic , fuzzy set , statistics , artificial intelligence , computer science , combinatorics , mathematical analysis
An estimate of a joint possibility distribution of two fuzzy numbers, based on fuzzy relations with a third fuzzy variable, is suggested. This leads to the operations of conditional addition and conditional multiplication, of interactive fuzzy numbers for which joint possibility distributions with a fuzzy variable are known.