A study on soft rough semigroups and corresponding decision making applications

• Autorzy: Qiumei Wang , Jianming Zhan , R.A. Borzooei
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Soft set; Soft rough semigroup; Soft rough ideal; Regular semigroup; Decision making method

Kategorie tematyczne

• 20N25: Fuzzy groups
• 20M99: None of the above, but in this section
• 20M17: Regular semigroups

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1400-1413

Daty

wydano

2017-01-01

otrzymano

2017-03-11

zaakceptowano

2017-10-24

online

2017-12-05

Twórcy

autor

Qiumei Wang

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autor

Jianming Zhan

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autor

R.A. Borzooei

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Identyfikatory

DOI

10.1515/math-2017-0119