# Soft sets combined with fuzzy sets and rough sets: a tentative approach

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### Cites background from "Soft sets combined with fuzzy sets ..."

...Corresponding Author: Pabitra Kumar Maji (pabitra maji@yahoo.com )...

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### Cites background from "Soft sets combined with fuzzy sets ..."

...[30] initiated concepts of rough soft sets, soft rough sets and soft rough fuzzy sets....

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...ses: irfandeli@kilis.edu.tr(Irfan Deli), ncagman@gop.edu.tr (Naim C¸ag˘man) Preprint submitted to Elsevier June 8, 2018 the ideas of fuzzy sets (e.g. [4, 6, 10, 14, 20, 22, 25, 27]), rough sets (e.g. [4, 15, 16]) and intuitionistic fuzzy sets (e.g. [23, 24, 29]) C¸a˘gman et al.[8] deﬁned FP-soft sets and constructed an FP-soft set decision making method. In this paper, we ﬁrst deﬁne intuitionistic fuzzy para...

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...Proof See Pawlak (1991)....

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### "Soft sets combined with fuzzy sets ..." refers background in this paper

...Definition 11 (Ganter and Wille 1999) A formal context is a triple (U, V, I) where U, V are two finite sets called object set and property set, and I is a binary relation between U and V....

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### "Soft sets combined with fuzzy sets ..." refers background or methods in this paper

...In other words, a soft set over U is a parameterized family of subsets of the universe U. For � 2 A; Fð� Þ may be considered as the set of � -approximate elements in S ¼ ðF; AÞ: For illustration, Molodtsov (1999) considered several concrete examples of soft sets....

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...Molodtsov (1999) initiated a novel concept called soft sets as a new mathematical tool for dealing with uncertainties....

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...Definition 3 ( Molodtsov 1999 ) A pair S ¼ð F; AÞ is called a soft set over U; where A � E and F : A ! PðUÞ is a set-valued mapping....

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...Soft set theory has potential applications in many different fields including the smoothness of functions, game theory, operational research, Perron integration, probability theory, and measurement theory ( Molodtsov 1999, 2004 )....

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... Molodtsov (1999) also proposed a general way to define binary operations over soft sets....

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