Some properties of state filters in state residuated lattices [PDF]
, 2021 We consider properties of state filters of state residuated lattices and prove that for every state filter $F$ of a state residuated lattice $X$: \begin{itemize} \item[(1)] $F$ is obstinate $\Leftrightarrow$ $L/F \cong\{0,1\}$; \item[(2)] $F$ is primary $
Michiro Kondo, Kondo, Michiro
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Interior and closure operators on bounded residuated lattice ordered monoids [PDF]
, 2008 summary:$GMV$-algebras endowed with additive closure operators or with its duals-multiplicative interior operators (closure or interior $GMV$-algebras) were introduced as a non-commutative generalization of topological Boolean algebras. In the paper, the
Švrček, Filip
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Approximation Spacesin Non-commutative Generalizations of $MV$-algebras [PDF]
, 2015 summary:Generalized MV-algebras (= GMV-algebras) are non-commutative generalizations of MV-algebras. They are an algebraic counterpart of the non-commutative Łukasiewicz infinite valued fuzzy logic.
RACHŮNEK, Jiří, ŠALOUNOVÁ, Dana
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$L$-infinity and $A$-infinity structures [PDF]
, 2019 summary:Looking back over 55 years of higher homotopy structures, I reminisce as I recall the early days and ponder how they developed and how I now see them. From the history of $A_\infty$-structures and later of $L_\infty$-structures and their progeny,
Stasheff, Jim
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On extending ${\rm C}^{k}$ functions from an open set to $\mathbb R$ with applications
, 2023 summary:For $k\in {\mathbb N} \cup \{\infty \}$ and $U$ open in $ {\mathbb R}$, let ${\rm C}^{k}(U)$ be the ring of real valued functions on $U$ with the first $k$ derivatives continuous. It is shown that for $f\in {\rm C}^{k}(U)$ there is $g\in {\rm C}^{
Raphael, Robert M., Burgess, Walter D.
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A non commutative generalization of $\star$-autonomous lattices [PDF]
, 2008 summary:Pseudo $\star $-autonomous lattices are non-commutative generalizations of $\star $-autonomous lattices. It is proved that the class of pseudo $\star $-autonomous lattices is a variety of algebras which is term equivalent to the class of ...
Rachůnek, J. +3 more
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Open problems posed at the eighth international conference on fuzzy set theory and applications [PDF]
, 2006 summary:Several open problems posed during FSTA 2006 (Liptovský Ján, Slovakia) are presented. These problems concern the classification of strict triangular norms, Lipschitz t-norms, interval semigroups, copulas, semicopulas and quasi- copulas, fuzzy ...
Sempi, Carlo +6 more
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Congruences and homomorphisms on $\Omega $-algebras
, 2017 summary:The topic of the paper are $\Omega$-algebras, where $\Omega$ is a complete lattice. In this research we deal with congruences and homomorphisms. An $\Omega$-algebra is a classical algebra which is not assumed to satisfy particular identities and ...
Andreja Tepavčević +5 more
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A survey and comparative analysis of different approaches to fuzzy differential equations modeling dynamics with uncertain parameters of deterministic character [PDF]
summary:Dynamics containing deterministic uncertainties can be modeled with fuzzy differential equations. Unlike classical differential equations, fuzzy differential equations lack a unified interpretation and theoretical foundation, as researchers adopt
Gasilov, Nizami A. +1 more
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Linking the closure and orthogonality properties of perfect morphisms in a category [PDF]
, 1998 summary:We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated.
Holgate, David
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