منابع مشابه
Relational groupoids and residuated lattices
Residuated structures are important lattice-ordered algebras both for mathematics and for logics; in particular, the development of lattice-valued mathematics and related non-classical logics is based on a multitude of lattice-ordered structures that suit for many-valued reasoning under uncertainty and vagueness. Extended-order algebras, introduced in [10] and further developed in [1], give an ...
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In this paper, two sets of sufficient conditions are obtained to ensure the existence and stability of a unique equilibrium point of unforced first-order fuzzy relational dynamical systems by using two different approaches which are both based on the fuzzy relational matrix of the model.In the first approach, the equilibrium point of the system is one of the centers of the related membership fu...
متن کاملBases of closure systems over residuated lattices
Article history: Received 15 January 2015 Received in revised form 4 June 2015 Accepted 26 July 2015 Available online 7 August 2015
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We introduce a new product bilattice construction that generalizes the well-known one for interlaced bilattices and others that were developed more recently, allowing to obtain a bilattice with two residuated pairs as a certain kind of power of an arbitrary residuated lattice. We prove that the class of bilattices thus obtained is a variety, give a finite axiomatization for it and characterize ...
متن کاملResiduated Lattices
The theory of residuated lattices, first proposed by Ward and Dilworth [4], is formalised in Isabelle/HOL. This includes concepts of residuated functions; their adjoints and conjugates. It also contains necessary and sufficient conditions for the existence of these operations in an arbitrary lattice. The mathematical components for residuated lattices are linked to the AFP entry for relation al...
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ژورنال
عنوان ژورنال: Asian-European Journal of Mathematics
سال: 2018
ISSN: 1793-5571,1793-7183
DOI: 10.1142/s1793557118500249