Now showing items 1-6 of 6

• #### Averaging Premises ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2001)
Article
Open Access
This paper deals with the sets of strict conjectures and consequences of a given collection $P$ of premises. The set of Averaging Functions is introduced on lattices and some properties of these functions are shown. ...
• #### Modus ponens on Boolean algebras revisited ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1996)
Article
Open Access
In a Boolean Algebra B, an inequality f(x,x -> y))<=y satisfying the condition f(1,1)=1, is considered for defining operations a->b among the elements of B. These operations are called Conditionals'' for f. In this paper, ...
• #### On some inexact relations in probabilized Boolean algebras ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
Article
Open Access
This paper is devoted to characterize monotonicity, conditionality and transitivity of some rational relations defined in a probabilized Boolean Algebra
• #### On the identity of fuzzy material conditionals ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
Article
Open Access
Given $\mu , \; \eta :X \rightarrow [0,1]$ we study when the equality $I_{\mu }^{T}=I_{\eta }^{T}$ holds, $T$ being a continuous t-norm, and $I_{\theta }^{T}$ the elemental preorder:\\ \[ I_{\theta }^{T}(y/x) = sup \{z\; ...
• #### Ovchinnikov's automorphisms revisited ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
Article
Open Access
In [6] an approach to the representation of synonyms and antonyms via the automorphisms of the De Morgan Algebra [0,1] x was suggested. In [3], Ovchinnikov established a representation theorem for automorphisms of the ...
• #### Searching degrees of self-contradiction in Atanassov's fuzzy sets ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2006)
Article
Open Access
In [11] and [12] Trillas et al. introduced the study of contradiction in the framework of Fuzzy Logic because of the significance to avoid contradictory outputs in the processes of inference. Later, the study of contradiction ...