Results 91 to 100 of about 22,156 (198)

Boolean Algebra of C-Algebras

Journal of Mathematical and Fundamental Sciences, 2014
A C- algebra is the algebraic form of the 3-valued conditional logic, which was introduced by F. Guzman and C.C. Squier in 1990. In this paper, some equivalent conditions for a C- algebra to become a boolean algebra in terms of congruences are given.
Guddati C. Rao, Perumali Sundarayya
doaj  

A New Extended Soft Intersection Set to M,N-SI Implicative Fitters of BL-Algebras

The Scientific World Journal, 2014
Molodtsov’s soft set theory provides a general mathematical framework for dealing with uncertainty. The concepts of (M,N)-SI implicative (Boolean) filters of BL-algebras are introduced. Some good examples are explored.
Jianming Zhan, Qi Liu, Hee Sik Kim
doaj   +1 more source

Soft binary piecewise intersection operation

Vietnam Journal of Science, Technology and Engineering
Soft set theory has emerged as a novel approach to modelling uncertainty, addressing a wide range of theoretical and practical problems. In this study, we define a new soft set operation called “soft binary piecewise intersection operation” and explore ...
Aslıhan Sezgin, Eda Yavuz, Nenad Stojanović   +2 more
doaj   +1 more source

Many-Valued Logic and Zadeh’s Fuzzy Sets: A Stone Representation Theorem for Interval-Valued Łukasiewicz–Moisil Algebras

Journal of Intelligent Systems, 2016
The aim of this article is to develop a representation theory of interval-valued Łukasiewicz–Moisil algebras; the concept of interval fuzzy sets involves the role that the notion of field of sets plays for the representation of Boolean algebras.
Amroune Abdelaziz, Zedam Lemnaouar, Davvaz Bijan   +2 more
doaj   +1 more source

Extension of stabilizers on subtraction algebras [PDF]

Journal of Mahani Mathematical Research
This paper explores the intersection between the class of bounded subtraction algebras and the class of Boolean algebras, demonstrating their equivalence.
Saeide Zahiri, Farshad Nahangi
doaj   +1 more source

On regular ultrafilters, Boolean ultrapowers, and Keisler's order

, 2018
In this paper we analyse and compare two different notions of regularity for filters on complete Boolean algebras. We also announce two results from a forthcoming paper in preparation, which provide a characterization of Keisler's order in terms of ...
Parente, Francesco
core  

Totally disconnected compactifications

International Journal of Mathematics and Mathematical Sciences, 1993
There is a one-to-one order preserving correspondence between totally disconnected compactifications of a topological space and certain Boolean algebras of open closed subsets on it.
Parfeny P. Saworotnow
doaj   +1 more source

FILTERS AND IDEAL BOOLE ALGEBRAS [PDF]

Fiabilitate şi Durabilitate, 2013
In this article we study Boolean algebras in terms of ideals and filters that are used in this dualityfuzzy logic mainframe systems.
Olimpia-Mioara PECINGINA, Constantin BOGDAN   +1 more
doaj  

Some results on pseudo MV-algebras with n-roots

Ratio Mathematica
The paper provides a study of pseudo MV-algebras with $n$-roots. We outline their main properties and establish that the class of MV-algebras with $n$-roots forms a variety.
Chen Xinrong, Hongxing Liu
doaj   +1 more source

Reconstructing Classical Algebras via Ternary Operations

Mathematics
Although algebraic structures are frequently analyzed using unary and binary operations, they can also be effectively defined and unified using ternary operations.
Jorge P. Fatelo, Nelson Martins-Ferreira
doaj   +1 more source