Negation Functions in the Set of Discrete Fuzzy Numbers

Autor:	Jaume Casasnovas, J. Vicente Riera
Rok vydání:	2010
Předmět:	Set (abstract data type) Combinatorics Discrete mathematics Negation Chain (algebraic topology) Binary operation Fuzzy number Distributive lattice Natural number Bounded distributive lattice Mathematics
Zdroj:	Communications in Computer and Information Science ISBN: 9783642140570 IPMU (2)
DOI:	10.1007/978-3-642-14058-7_41
Popis:	The aim of this paper is to build a strong negation \(\mathcal{N}\) on the bounded distributive lattice, \(\mathcal{A}_1^{L}\), of discrete fuzzy numbers whose support is a subset of consecutive natural numbers of the finite chain L = {0,1, ⋯ ,m}, from the only negation on L. Moreover, we obtain the \(\mathcal{N}\)-dual t-norm(t-conorm) of a \(\mathcal{T}(\mathcal{S})\) t-norm(t-conorm) on \(\mathcal{A}_1^{L}\).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::311facdd63cbb51f8a46dccf62ed0302 https://doi.org/10.1007/978-3-642-14058-7_41 Zobrazit plný text záznamu