A study on soft rough semigroups and corresponding decision making applications
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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.
2018 ◽
Vol 65
(1)
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pp. 23-31
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2010 ◽
Vol 9
(3)
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pp. 138-144
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1995 ◽
Vol 4
(1)
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pp. 56-63
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2017 ◽
Vol 41
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pp. 694-701
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