A study on soft rough semigroups and corresponding decision making applications

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 -soft sets and -soft sets over semigroups. In view of this theory, we inv...

Full description

Saved in:
Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 15; no. 1; pp. 1400 - 1413
Main Authors Wang, Qiumei, Zhan, Jianming, Borzooei, R.A.
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter Open 05.12.2017
De Gruyter Poland
De Gruyter
Subjects
20M17
20M99
20N25
Decision making
Decision making method
Parameters
Regular semigroup
Semigroups
Soft rough ideal
Soft rough semigroup
Soft set
Online AccessGet full text

Cover

More Information
Summary: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 -soft sets and -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.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2017-0119