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Fuzzy Strong Regular Congruence Triples for an E-inversive Semigroup†

by Yabing Shi, Zhenji Tian, Tianjie Zhang
"... Copyright c © 2013 Yabing Shi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this paper, we introduce the concept of fuzzy ..."
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of fuzzy strong regular con-gruence triple of a fuzzy strong regular congruence on an E-inversive semigroup, and then we show that each fuzzy strong regular congruence on an E-inversive semigroup is uniquely determined by its fuzzy strong regular congruence triple. Finally, it is obtained that there exists

Regularity of intuitionistic fuzzy relations on hypergroupoids

by Irina Cristea , 2014
"... Abstract In this paper we introduce the notions of regular and strongly regular intuitionistic fuzzy relations on hypergroupoids, studying some related properties and connections with the classical case. Then we investigate the lattice structure of these kinds of intuitionistic fuzzy equivalences. ..."
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Abstract In this paper we introduce the notions of regular and strongly regular intuitionistic fuzzy relations on hypergroupoids, studying some related properties and connections with the classical case. Then we investigate the lattice structure of these kinds of intuitionistic fuzzy equivalences.

Intuitionistic Fuzzy Bi-Ideals and Regularity

by S Narmada , V Mahesh Kumar - in Near-Rings, International Journal of Algebra 5
"... Abstract We study the intuitionistic fuzzification of the notion of bi-ideals in near-rings. We give characterizations of intuitionistic fuzzy bi-ideals in near-rings. Also we give conditions for a near-ring with unity to be strongly regular in terms of intuitionistic fuzzy set. Mathematics Subject ..."
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Abstract We study the intuitionistic fuzzification of the notion of bi-ideals in near-rings. We give characterizations of intuitionistic fuzzy bi-ideals in near-rings. Also we give conditions for a near-ring with unity to be strongly regular in terms of intuitionistic fuzzy set. Mathematics

THE STEINER TRIPLE SYSTEMS OF ORDER 19

by Petteri Kaski, Patric R. J. Östergård , 2004
"... Using an orderly algorithm, the Steiner triple systems of order 19 are classified; there are 11,084,874,829 pairwise nonisomorphic such designs. For each design, the order of its automorphism group and the number of Pasch configurations it contains are recorded; 2,591 of the designs are anti-Pasch. ..."
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supplemented with a vertex invariant based on Pasch configurations. The possibility of using the (strongly regular) block graphs of these designs in the isomorphism tests is utilized. The aforementioned value is in fact a lower bound on the number of pairwise nonisomorphic strongly regular graphs

CHARACTERIZATION OF REGULAR Γ−SEMIGROUPS THROUGH FUZZY IDEALS

by P. Dheena, S. Coumaressane
"... Abstract. Notions of strongly regular, regular and left(right) regular Γ−semigroups are introduced. Equivalent conditions are obtained through fuzzy notion for a Γ−semigroup to be either strongly regular or regular or left regular. 1. ..."
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Abstract. Notions of strongly regular, regular and left(right) regular Γ−semigroups are introduced. Equivalent conditions are obtained through fuzzy notion for a Γ−semigroup to be either strongly regular or regular or left regular. 1.

Regular Matrices and Their Strong Preservers over Semirings

by Seok-zun Song, Kyung-tae Kang, Leroy B. Beasley , 2008
"... An m×n matrix A over a semiring S is called regular if there is an n×m matrix G over S such that AGA = A. We study the problem of characterizing those linear operators T on the matrices over a semiring such that T (X) is regular if and only if X is. Complete charac-terizations are obtained for many ..."
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An m×n matrix A over a semiring S is called regular if there is an n×m matrix G over S such that AGA = A. We study the problem of characterizing those linear operators T on the matrices over a semiring such that T (X) is regular if and only if X is. Complete charac-terizations are obtained for many

On Fuzzy Matroids

by Talal Ali Al-hawary - INTERNATIONAL J.MATH. COMBIN. VOL.1(2012), 13-21 , 2012
"... The aim of this paper is to discuss properties of fuzzy regular-flats, fuzzy C-flats, fuzzy alternative-sets and fuzzy i-flats. Moreover, we characterize some peculiar fuzzy matroids via these notions. Finally, we provide a decomposition of fuzzy strong maps. ..."
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The aim of this paper is to discuss properties of fuzzy regular-flats, fuzzy C-flats, fuzzy alternative-sets and fuzzy i-flats. Moreover, we characterize some peculiar fuzzy matroids via these notions. Finally, we provide a decomposition of fuzzy strong maps.

( de Gruyter 2002 New prolific constructions of strongly regular graphs

by Dmitry G. Fon-der-flaass, Communicated W. Kantor
"... Abstract. We present a purely combinatorial construction of strongly regular graphs with geometric parameters. The construction produces hyperexponentially many graphs, and uses neither linear algebra nor groups. Among the graphs constructed, there are graphs with pa-rameters of a generalized quadra ..."
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Abstract. We present a purely combinatorial construction of strongly regular graphs with geometric parameters. The construction produces hyperexponentially many graphs, and uses neither linear algebra nor groups. Among the graphs constructed, there are graphs with pa-rameters of a generalized

© Hindawi Publishing Corp. ON GENERALIZED FUZZY STRONGLY SEMICLOSED SETS IN FUZZY TOPOLOGICAL SPACES

by Oya Bedre Ozbakir , 2001
"... We introduce the concept of generalized fuzzy strongly semiclosed, generalized fuzzy almost-strongly semiclosed, generalized fuzzy strongly closed, and generalized fuzzy almost-strongly closed sets. In the light of these definitions, we also define some gen-eralizations of fuzzy continuous functions ..."
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We introduce the concept of generalized fuzzy strongly semiclosed, generalized fuzzy almost-strongly semiclosed, generalized fuzzy strongly closed, and generalized fuzzy almost-strongly closed sets. In the light of these definitions, we also define some gen-eralizations of fuzzy continuous

A Novel Fuzzy BP Learning Algorithm for Four-layer Regular Fuzzy Neural Networks1

by Liu Puyin, Yang Wenqiang
"... Abstract–The general fuzzy numbers are approximately represented as polygonal fuzzy numbers, which can be determined by finite nested closed interval. Based on interval arith-metic the input–output (I/O) relationship of a four-layer feedforward regular fuzzy neural network (FNN) is analyzed systemat ..."
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inference rule table to demonstrate the FNN trained by our learning scheme having strong generalization capability. Keywards–Polygonal line operator; Fuzzy arithmetic; Regular fuzzy neural network;
Results 1 - 10 of 95