In view of the particularity of the value domains of mapping functions in soft sets, this paper presents data analysis approaches of soft sets under incomplete information. For standard soft sets, the decision value of an object with incomplete information is calculated by weighted-average of all possible choice values of the object, and the weight of each possible choice value is decided by the distribution of other objects. For fuzzy soft sets, incomplete data will be predicted based on the method of average-probability. Results of comparison show that comparing to other approaches for dealing with incomplete data, these approaches presented in this paper are preferable for reflecting actual states of incomplete data in soft sets. At last, an example is provided to illuminate the practicability and validity of the data analysis approach of soft sets under incomplete information.
"In 1999, Molodtsov , ,  introduced a soft set theory as a new tool for investigation of uncertainties where we can find a large range of applications of soft sets in many different fields. There has been a rapid growth of interest in soft set theory, its applications and its connection with another mathematical branches , , , , , , , , , , , . Moreover, there are many papers devoted to soft topological spaces , ,  ,, , , , . "
[Show abstract][Hide abstract] ABSTRACT: The paper deals with a soft topological space which is defined over an initial universe set U with a fixed set of parameters E. The main goal is to point out that any soft topological space is homeomorphic to a topological space (E × U, τ) where τ is an arbitrary topology on the product E × U , consequently many soft topological notions and results can be derived from general topology. Furthermore, in many papers some notions are introduced by different ways and it would be good to give a unified approach for a transfer of topological notions to a soft set theory and to create a bridge between general topology and soft set theory.
Hacettepe University Bulletin of Natural Sciences and Engineering Series B: Mathematics and Statistics 07/2015; 4(45). DOI:10.15672/HJMS.20164513117 · 0.41 Impact Factor
"They showed that soft sets are a class of special information systems. In recent years, many interesting applications of soft set theory have been expanded by embedding the ideas of fuzzy sets          . To develop soft set theory, the operations of the soft sets are redefined and a uni-int decision making method was constructed by using these new operations . "
[Show abstract][Hide abstract] ABSTRACT: Shabir and Naz in  introduced the notion of soft topological spaces. They defined soft topology on the collection t of
soft sets over X. Consequently, they defined soft separation axioms, soft regular spaces and soft normal spaces and established their
several properties. Min in  investigate some properties of these soft separation axioms. Kandil et al.  introduce the notion of
soft semi separation axioms. In particular they study the properties of the soft semi regular spaces and soft semi normal spaces. In the
present paper, we introduce the notions of soft regular (normal) spaces based on the notions of semi open soft sets and soft ideals. Also,
we discuss some properties of these notions and introduce an alternative descriptions of the notions of soft regular spaces via soft ideals
, which is more general.
"After presentation of the operations of soft sets , the properties and applications of soft set theory have been studied increasingly    . In recent years, many interesting applications of soft set theory have been expanded by embedding the ideas of fuzzy sets          . To develop soft set theory, the operations of the soft sets are redefined and a uni-int decision making method was constructed by using these new operations . "
[Show abstract][Hide abstract] ABSTRACT: The notion of soft ideals was initiated for the �rst time
by Kandil et al. in 2014. Also, Kandil et al. introduced a uni�cation
of some types of di�erent kinds of subsets of soft topological spaces
using the notions of
-operation. In this paper, we extend these notions
-operation by using the soft ideal notions. In particular, we introduce
the notions of ~I-open soft sets, pre-~I-open soft sets, �-~I-open soft sets,
semi-~I-open soft sets and �-~I-open soft sets to soft topological spaces.
Moreover, we study the relations between these di�erent types of subsets
of soft topological spaces with soft ideal. Also, we introduce the concepts
of ~I-continuous soft, pre-~I-continuous soft, �-~I-continuous soft, semi-~I-
continuous soft and �-~I-continuous soft functions and discuss their properties
L Curtis, I Trewin, G C W England, J H Burford, S L Freeman
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.