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Subjects
06-XX Order, lattices, ordered algebraic structures
06Dxx Distributive lattices
06D30 De Morgan algebras, Łukasiewicz algebras

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Classification of the regular De Morgan algebras of fuzzy sets.

Francesc Esteva, Núria Piera (1984)

Stochastica

A characterization of regular lattices of fuzzy sets and their isomorphisms is given in Part I. A characterization of involutions on regular lattices of fuzzy sets and the isomorphisms of De Morgan algebras of fuzzy sets is given in Part II. Finally all classes of De Morgan algebras of fuzzy sets with respect to isomorphisms are completely described.

Closure Łukasiewicz algebras

Abad Manuel, Cimadamore Cecilia, Díaz Varela José, Rueda Laura, Suardíaz Ana (2005)

Open Mathematics

In this paper, the variety of closure n-valued Łukasiewicz algebras, that is, Łukasiewicz algebras of order n endowed with a closure operator, is investigated. The lattice of subvarieties in the particular case in which the open elements form a three-valued Heyting algebra is obtained.

Currently displaying 1 – 5 of 5

Page 1

Displaying 1 – 5 of 5

Classification of the regular De Morgan algebras of fuzzy sets.

Closure Łukasiewicz algebras

Congruence pairs for algebras abstracting Kleene and Stone algebras

Corrigendum à l'article "Sur la construction de certaines MS-algèbres" (Port. Math., 39(1-4) (1980), 489-496)

Cyclic ordered groups and MV-algebras

Currently displaying 1 – 5 of 5