A COMMUTATIVE REGULAR MONOID ON ROUGH SETS

被引:0
|
作者
Praba, B. [1 ]
Chandrasekaran, V. M. [2 ]
Manimaran, A. [2 ]
机构
[1] SSN Coll Engn, Madras 603110, Tamil Nadu, India
[2] VIT Univ, Vellore 632014, Tamil Nadu, India
关键词
roughset; semigroup; monoid; regular semigroup; ideals;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we intend to study an algebraic approach on rough sets. We introduce the concept of rough semigroup, rough monoid and rough ideals on the set of all rough sets for the given information system together with the operation Praba A. We illustrate these concepts through examples.
引用
收藏
页码:307 / 318
页数:12
相关论文
共 50 条
  • [31] Duo Property on the Monoid of Regular Elements
    Hong, Chan Yong
    Kim, Hong Kee
    Kim, Nam Kyun
    Kwak, Tai Keun
    Lee, Yang
    ALGEBRA COLLOQUIUM, 2022, 29 (02) : 203 - 216
  • [32] Non-commutative Arithmetics on Thompson's Monoid
    Xue, Bo Qing
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 37 (10) : 1586 - 1626
  • [33] Non-commutative Arithmetics on Thompson's Monoid
    Bo Qing XUE
    Acta Mathematica Sinica,English Series, 2021, 37 (10) : 1586 - 1626
  • [34] A commutative 1-monoid for classification with fuzzy attributes
    Di Lascio, L
    Gisolfi, A
    Rosa, G
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2001, 26 (01) : 1 - 46
  • [35] Twisted forms of commutative monoid structures on affine spaces
    Semenov, Andrei, V
    Gvozdevsky, Pavel
    JOURNAL OF ALGEBRA, 2022, 608 : 272 - 289
  • [36] Commutative monoid rings with n-generated ideals
    Okon, JS
    Vicknair, JP
    ADVANCES IN COMMUTATIVE RING THEORY, 1999, 205 : 483 - 500
  • [37] MONOID ALGEBRAS OVER NON-COMMUTATIVE RINGS
    Cojuhari, E. P.
    INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2007, 2 : 28 - 53
  • [38] MODULES, LATTICE MODULES AND THE SET OF CONGRUENCES ON A COMMUTATIVE MONOID
    Rush, David E.
    HOUSTON JOURNAL OF MATHEMATICS, 2015, 41 (02): : 367 - 382
  • [39] CLOSED SETS IN FREE ORTHOGONALITY MONOID
    WEAVER, RJ
    AMERICAN JOURNAL OF MATHEMATICS, 1974, 96 (04) : 593 - 601
  • [40] REPRESENTING REGULAR PSEUDOCOMPLEMENTED KLEENE ALGEBRAS BY TOLERANCE-BASED ROUGH SETS
    Jarvinen, Jouni
    Radeleczki, Sandor
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, 105 (01) : 57 - 78