A study on soft rough semigroups and corresponding decision making applications

Qiumei Wang; Jianming Zhan; R.A. Borzooei

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 1400-1413
  • ISSN: 2391-5455

Abstract

top
In this paper, we study a kind of soft rough semigroups according to Shabir’s idea. We define the upper and lower approximations of a subset of a semigroup. According to Zhan’s idea over hemirings, we also define a kind of new C-soft sets and CC-soft sets over semigroups. In view of this theory, we investigate the soft rough ideals (prime ideals, bi-ideals, interior ideals, quasi-ideals, regular semigroups). Finally, we give two decision making methods: one is for looking a best a parameter which is to the nearest semigroup, the other is to choose a parameter which keeps the maximum regularity of regular semigroups.

How to cite

top

Qiumei Wang, Jianming Zhan, and R.A. Borzooei. "A study on soft rough semigroups and corresponding decision making applications." Open Mathematics 15.1 (2017): 1400-1413. <http://eudml.org/doc/288485>.

@article{QiumeiWang2017,
abstract = {In this paper, we study a kind of soft rough semigroups according to Shabir’s idea. We define the upper and lower approximations of a subset of a semigroup. According to Zhan’s idea over hemirings, we also define a kind of new C-soft sets and CC-soft sets over semigroups. In view of this theory, we investigate the soft rough ideals (prime ideals, bi-ideals, interior ideals, quasi-ideals, regular semigroups). Finally, we give two decision making methods: one is for looking a best a parameter which is to the nearest semigroup, the other is to choose a parameter which keeps the maximum regularity of regular semigroups.},
author = {Qiumei Wang, Jianming Zhan, R.A. Borzooei},
journal = {Open Mathematics},
keywords = {Soft set; Soft rough semigroup; Soft rough ideal; Regular semigroup; Decision making method},
language = {eng},
number = {1},
pages = {1400-1413},
title = {A study on soft rough semigroups and corresponding decision making applications},
url = {http://eudml.org/doc/288485},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Qiumei Wang
AU - Jianming Zhan
AU - R.A. Borzooei
TI - A study on soft rough semigroups and corresponding decision making applications
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1400
EP - 1413
AB - In this paper, we study a kind of soft rough semigroups according to Shabir’s idea. We define the upper and lower approximations of a subset of a semigroup. According to Zhan’s idea over hemirings, we also define a kind of new C-soft sets and CC-soft sets over semigroups. In view of this theory, we investigate the soft rough ideals (prime ideals, bi-ideals, interior ideals, quasi-ideals, regular semigroups). Finally, we give two decision making methods: one is for looking a best a parameter which is to the nearest semigroup, the other is to choose a parameter which keeps the maximum regularity of regular semigroups.
LA - eng
KW - Soft set; Soft rough semigroup; Soft rough ideal; Regular semigroup; Decision making method
UR - http://eudml.org/doc/288485
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.