Results 1 to 10 of about 868 (182)

On annihilators in BL-algebras

Open Mathematics, 2016
In the paper, we introduce the notion of annihilators in BL-algebras and investigate some related properties of them. We get that the ideal lattice (I(L), ⊆) is pseudo-complemented, and for any ideal I, its pseudo-complement is the annihilator I⊥ of I ...
Zou Yu Xi, Xin Xiao Long, Fei He Peng
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Generalized co-annihilator of BL-algebras

Open Mathematics, 2015
In BL-algebras we introduce the concept of generalized co-annihilators as a generalization of coannihilator and the set of the form x-1F where F is a filter, and study basic properties of generalized co-annihilators.
Meng Biao Long, Xin Xiao Long
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Interval-valued algebras and fuzzy logics [PDF]

, 2010
In this chapter, we present a propositional calculus for several interval-valued fuzzy logics, i.e., logics having intervals as truth values. More precisely, the truth values are preferably subintervals of the unit interval.
Cornelis, Chris, Deschrijver, Glad, Van Gasse, Bart   +2 more
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Some results on fuzzy semi maximal filters in BL-algebras

پژوهش‌های ریاضی, 2022
In this paper, first, the concept of the fuzzy semi maximal filters in BL-algebras has been introduced, then several properties of  fuzzy semi maximal filters have been studied and  its relationship with other fuzzy filters including fuzzy  (positive ...
Akbar Paad
doaj  

Interval valued $(\in,\ivq)$-fuzzy filters of pseudo $BL$-algebras

, 2008
We introduce the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, we introduce the notions of interval valued $(\in,\ivq)$-fuzzy filters of pseudo $BL$-algebras and investigate some of ...
A Di Nola, A Di Nola, A Dvurečenskij, A Dvurečenskij, A Dvurečenskij, A Iorgulescu, B Davvaz, B Davvaz, CC Chang, E Turunen, E Turunen, G Deschrijver, G Georgescu, G Georgescu, G Georgescu, HB Curry, J Rachunek, J Rachunek, J Zhan, Jianming Zhan, LA Zadeh, LA Zadeh, LA Zadeh, MV Janowitz, P Flonder, P Hájek, PM Pu, R Biswas, SK Bhakat, SK Bhakat, W Zeng, WC Nemitz, Wiesław A. Dudek, X Ma, XH Yuan, XH Zhang, XH Zhang, Young Bae Jun   +37 more
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Relative co-annihilators in lattice equality algebras [PDF]

Mathematica Bohemica
We introduce the notion of relative co-annihilator in lattice equality algebras and investigate some important properties of it. Then, we obtain some interesting relations among $ \vee$-irreducible filters, positive implicative filters, prime filters and
Sogol Niazian, Mona Aaly Kologani, Rajab Ali Borzooei   +2 more
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Fuzzy Sets and Formal Logics [PDF]

, 2015
The paper discusses the relationship between fuzzy sets and formal logics as well as the influences fuzzy set theory had on the development of particular formal logics. Our focus is on the historical side of these developments. © 2015 Elsevier B.V.
Godo, Lluis, Gottwald, Siegfried
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The variety generated by all the ordinal sums of perfect MV-chains

, 2012
We present the logic BL_Chang, an axiomatic extension of BL (see P. H\'ajek - Metamathematics of fuzzy logic - 1998, Kluwer) whose corresponding algebras form the smallest variety containing all the ordinal sums of perfect MV-chains. We will analyze this
Bianchi, Matteo
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On a New Construction of Pseudo BL-Algebras [PDF]

, 2014
We present a new construction of a class pseudo BL-algebras, called kite pseudo BL-algebras. We start with a basic pseudo hoop $A$. Using two injective mappings from one set, $J$, into the second one, $I$, and with an identical copy $\overline A$ with ...
Dvurečenskij, Anatolij
core  

Toward a probability theory for product logic: states, integral representation and reasoning

, 2018
The aim of this paper is to extend probability theory from the classical to the product t-norm fuzzy logic setting. More precisely, we axiomatize a generalized notion of finitely additive probability for product logic formulas, called state, and show ...
Flaminio, Tommaso, Godo, Lluis, Ugolini, Sara   +2 more
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