On fuzzy congruence of a near-ring module

被引：8

作者：

Dutta, TK ^{[1
]}

Biswas, BK ^{[1
]}

机构：

[1] Univ Calcutta, Dept Pure Math, Calcutta 700019, W Bengal, India

来源：

FUZZY SETS AND SYSTEMS | 2000年 / 112卷 / 02期

关键词：

algebra; R-module; fuzzy submodule; quotient module; fuzzy congruence;

D O I：

10.1016/S0165-0114(97)00411-9

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The aim of this paper is to introduce fuzzy submodule and fuzzy congruence of an R-module (Near-ring module), to obtain the correspondence between fuzzy congruences and fuzzy submodules of an R-module, to define quotient R-module of an R-module over a fuzzy submodule and to obtain correspondence between fuzzy congruences of an R-module and fuzzy congruences of quotient R-module over a fuzzy submodule of an R-module. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：343 / 348

页数：6

共 11 条

[1] QUASI-REGULARITY IN NEAR-RINGS [J].

BEIDLEMAN, JC .

MATHEMATISCHE ZEITSCHRIFT, 1965, 89 (03) :224-+

[2]

DUTTA TK, 1996, FUZZY MATH, V4, P737

[3] FUZZY CONGRUENCES AND COMPATIBLE FUZZY PARTITIONS [J].

FILEP, L ;

MAURER, GI .

FUZZY SETS AND SYSTEMS, 1989, 29 (03) :357-361

[4] FUZZY CONGRUENCES AND FUZZY NORMAL-SUBGROUPS [J].

KUROKI, N .

INFORMATION SCIENCES, 1992, 60 (03) :247-259

[5] FUZZY NORMAL-SUBGROUPS AND FUZZY COSETS [J].

MUKHERJEE, NP ;

BHATTACHARYA, P .

INFORMATION SCIENCES, 1984, 34 (03) :225-239

[6] FUZZY CONGRUENCE RELATIONS [J].

MURALI, V .

FUZZY SETS AND SYSTEMS, 1991, 41 (03) :359-369

[7]

ROSENFELD A, 1975, FUZZY SETS THEIR APP, DOI DOI 10.1016/B978-0-12-775260-0.50008-6

[8] PATTERN CLASSIFICATION BASED ON FUZZY RELATIONS [J].

TAMURA, S ;

HIGUCHI, S ;

TANAKA, K .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1971, SMC1 (01) :61-&

[9]

YEH RT, 1975, FUZZY SETS THEIR APP

[10] SIMILARITY RELATIONS AND FUZZY ORDERINGS [J].

ZADEH, LA .

INFORMATION SCIENCES, 1971, 3 (02) :177-&

← 1 2 →