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Page 5992 of Mathematical Reviews Vol. , Issue 2004h [page]

2004 Mathematical Reviews  
If G is a generalized variety of X-algebras, then M(G) = L(G)oD=L(GoD). If P is a pseudovariety of X-algebras, then M(P) = R(P)= PoD=PV D.  ...  The Mal’cev product K, o K2 of two classes K; and K> consists of all A which have a congruence p such that 4/p € K> and such that every p-class which is a subalgebra of A belongs to K;.  ... 

Prime filters of hyperlattices

Reza Ameri, M. Amiri-Bideshki, Arsham Borumand Saeid, Sarka Hoskova-Mayerova
2016 Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica  
The purpose of this paper is the study of prime ideals and prime filters in hyperlattices. I-filter and the filter generated by a ∈ L are introduced.  ...  Some properties of hyperlat- tices are studied and the relationship between prime ideals and prime filters in hyperlattices is discussed.  ...  The first author partially has been supported by the "Algebraic Hyperstructure Excellence, Tarbiat Modares University, Tehran, Iran" and "Research Center in Algebraic Hyperstructures and Fuzzy Mathematics  ... 
doi:10.1515/auom-2016-0025 fatcat:bu6ptglquneorabyecnrbkkcde

Non-deterministic Algebraic Structures for Soft Computing [chapter]

I. P. Cabrera, P. Cordero, M. Ojeda-Aciego
2011 Lecture Notes in Computer Science  
The interest on these generalized algebras has been growing in recent years, both from a crisp and a fuzzy standpoint.  ...  The notion of non-deterministic automata as a formal model of computation is widely used, but the specific study of non-determinism is useful, for instance, for natural language processing, in describing  ...  A previous step before studying the fuzzy congruences on multilattices and the suitable generalizations of the concept of L-fuzzy and M -fuzzy congruence, is to define fuzzy congruence relations on nd-groupoids  ... 
doi:10.1007/978-3-642-21498-1_55 fatcat:mq662yp5xzbn5agvoaxxkbj62q

Fuzzy congruence relations on nd-groupoids

I. P. Cabrera, P. Cordero, G. Gutiérrez, J. Martínez, M. Ojeda-Aciego
2009 International Journal of Computer Mathematics  
In this work we introduce the notion of fuzzy congruence relation on an ndgroupoid and study conditions on the nd-groupoid which guarantee a complete lattice structure on the set of fuzzy congruence relations  ...  The study of these conditions allowed to construct a counterexample to the statement that the set of fuzzy congruences on a hypergroupoid is a complete lattice.  ...  Acknowledgements This paper has been partially supported by projects TIN2006-15455-C03-01, TIN2007-65819 (Science Ministry of Spain) and P06-FQM-02049 (Junta de Andalucía).  ... 
doi:10.1080/00207160902721797 fatcat:aiw7emivevdndc3rhop6haavi4

Term Functions and Fundamental Relation of Fuzzy Hyperalgebras

R. Ameri, T. Nozari
2010 Ratio Mathematica  
We present the form of generated subfuzzy hyperalgebra of a given fuzzy hyperalgebra as a generalization of universal algebras and multialgebras.  ...  We start from this idea that the set of nonzero fuzzy subsets of a fuzzy hyperalgebra can be organized naturally as a universal algebra, and constructing the term functions over this algebra.  ...  Acknowledgement This research is partially supported by the "Fuzzy Systems and Its Applications Center  ... 
doaj:f4a24c7ee19a47c29642a49ff2aaa16a fatcat:gkd3zhslqnbz5i4d3o55odgl3q

Modal Logic With Non-deterministic Semantics: Part I - Propositional Case [article]

Marcelo E. Coniglio, Luis Fariñas del Cerro, Newton M. Peron
2018 arXiv   pre-print
We will show that finite deterministic matrices do not characterize any of them.  ...  In previous work, we proved completeness for some Ivlev systems and extended his hierarchy, proposing weaker six-valued systems in which the T axiom was replaced by the deontic D axiom.  ...  In the context of fuzzy logic, P.  ... 
arXiv:1808.10007v1 fatcat:qvhx5pomebcwvax5zzctluan4i

QUOTIENTS AND ISOMORPHISM THEOREMS OF UNIVERSAL HYPERALGEBRAS ON CERTAIN WEIGHTED INTEGRAL INEQUALITIES WITH MIXED NORM

M Ebrahimi, A Karimi, M Mahmoudi, Pankaj Jain, Pawan Jain, Babita Gupta
unpublished
Then, defining quotients of universal hyperalgebras over equivalence relations and congruences, isomorphism theorems for universal hyperalgebras are proved.  ...  In this paper, taking homomorphisms, dual homomorphisms, and strong homomorphisms between universal hyperalgebras, three different categories of universal hyperalgebras are introduced.  ...  We also obtain two-sided estimates, that is, lower and upper bounds for the L p v → L q u norms of these operators for all p and q satisfying 1 < p < ∞, 0 < q < ∞ for the Hardy-type operator case, and  ... 
fatcat:tl4mkugb7zcedjhpebcpijnd2u

Some properties of residual mapping and convexity in ∧-hyperlattices

Reza Ameri, Mohsen Amiri-Bideshki, A Saeid
2014 RATIO MATHEMATICA   unpublished
The aime of this paper is the study of residual mappings and con-vexity in hyperlattices.  ...  To get this point, we study principal down set in hyperlattices and we give some conditions for a mapping between two hyperlattices to be equivalent with a residual maping.  ...  Acknowledgements The first author partially has been supported by "Algebraic Hyperstructure Excellence, Tarbiat Modares University, Tehran, Iran" and "Research Center in Algebraic Hyperstructures and Fuzzy  ... 
fatcat:qaldn4mbqfdhjclr25hwihntky

Page 218 of Mathematical Reviews Vol. , Issue Index [page]

Mathematical Reviews  
(English summary) 2003m:08001 Wismath, Shelly L. see Denecke, Klaus, 2003m:08001 Items with secondary classifications in 08-01 Cohn, P.  ...  Representation of fuzzy subalgebras by crisp subalgebras. (English summary) Szendrei, A. see Kearnes, K.  ... 

Hyper BL-algebras

Xiao Xin, Xi Zou, Jian Zhan
2018 Filomat  
In particular, we define the concept of regular compatible congruence on hyper BL-algebras and construct the quotient structure in hyper BL-algebras.  ...  We put forth the concept of hyper BL-algebras which is a generalization of BL-algebras. We give some non-trivial examples and properties of hyper BL-algebras.  ...  This research is supported by a grant of National Natural Science Foundation of China (11571281; 11461025).  ... 
doi:10.2298/fil1819675x fatcat:d4fnkxumqbgb3ma5bv2zcu55p4

Page 113 of Mathematical Reviews Vol. 15, Issue Index [page]

Mathematical Reviews  
A simultaneous characterization of subalgebras and conditional subalgebras of a multialgebra.  ...  .; Palfy, P. P.) On the congruence extension property. 83f:08005 Both, N.  ... 

Page 212 of Mathematical Reviews Vol. , Issue Subject Index [page]

Mathematical Reviews  
multialgebras).  ...  ., 2002d:08001 Magulovic, Dragan (with ROBiger, Martin) Algebras of co-relations on a finite set. (English summary) 2002h:08001 — Equivalence co-relations and co-congruences of co-algebras.  ... 

Italian Journal of Pure and Applied Mathematics EDITOR-IN-CHIEF Piergiulio Corsini Editorial Board F O R U M EDITOR-IN-CHIEF VICE-CHIEF Violeta Leoreanu MANAGING BOARD EDITORIAL BOARD Italian Journal of Pure and Applied Mathematics EDITOR-IN-CHIEF Vice-CHIEFS Managing Board Editorial Board

Saeid Abbasbandy, Reza Ameri, Luisa Arlotti, Krassimir Atanassov, Malvina Baica, Federico Bartolozzi, Rajabali Borzooei, Carlo Cecchini, Gui-Yun Chen, Domenico Chillemi, Stephen Comer, Irina Cristea (+179 others)
2010 ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS-N   unpublished
This research is partially supported by the Research Center on Algebraic Hyperstructures and Fuzzy Mathematics, University of Mazandaran, Babolsar, Iran. Acknowledgment.  ...  The present version of the paper owes much to the precise and kind disscusions and suggestions of Professor B.E. Rhoades. Acknowledgements.  ...  Ameri et.al. in [3] introduced congruence of multialgebras.  ... 
fatcat:zhgv7rxdvvaldgd4oyaror6fjy

Page 2209 of Mathematical Reviews Vol. , Issue Index [page]

Mathematical Reviews  
(see 2003j:65004) 65M06 (86A10) Walker, Carol L. (with Walker, Elbert A.) Powers of t-norms. (English summary) Fuzzy Sets and Systems 129 (2002), no. 1, 1-18.  ...  (with Walker, Carol L.) Powers of t-norms. (English summary) Fuzzy Sets and Systems 129 (2002), no. 1, 1-18. (Summary) 2003¢:03052 03B52 (03E72) Walker, Grant (with Wood, R. M. W.)  ... 

RATIO MATHEMATICA Journal of Applied Mathematics HONORARY CHIEF EDITOR CHIEF EDITORS MULTIVALUED FUNCTIONS, FUZZY SUBSETS AND JOIN SPACES

Franco Eugeni, Antonio Maturo, Ioan Tofan, Piergiulio Corsini, Razieh Mahjoob
2010 unpublished
Acknowledgement This research is partially supported by the "Fuzzy Systems and Its Applications Center  ...  Therefore, 0 < (x • (y • z))(l) = ((x • y) • z)(l) = p∈H [(x • y)(p) ∧ (p • z)(l)].  ...  We gave the form of generated subfuzzy hyperalgebra of a given fuzzy hyperalgebra as a generalization of universal algebras and multialgebras. The paper has been organized as follows.  ... 
fatcat:fdfzijl7y5egxfumgxnkylbogu
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