# A study on soft rough semigroups and corresponding decision making applications

Open Mathematics (2017)

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

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## Abstract

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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

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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 -

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