Another approach to soft rough sets

نویسندگان

  • Muhammad Shabir
  • Muhammad Irfan Ali
  • Tanzeela Shaheen
چکیده

Theories of soft sets and rough sets are two different approaches to vagueness. A possible fusion of rough sets and soft sets is proposed by F.Feng et al. They introduce the concept of soft rough sets, where parametrized subsets of a universe set are basic building blocks for lower and upper approximations of a subset. In the present paper, a new approach is being introduced to study roughness through soft sets. In this new technique of finding approximations of a set, flavour of both theories of soft sets and rough sets is retained. This new model may be called modified soft rough set. It is shown that in this new model, information granules are finer than soft rough sets. Some results which were not valid in soft rough sets can be proved in MSR-sets. Finally concept of approximations of an information system with respect to another information system is studied. 2012 Elsevier B.V. All rights reserved.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multi-granulation fuzzy probabilistic rough sets and their corresponding three-way decisions over two universes

This article introduces a general framework of multi-granulation fuzzy probabilistic roughsets (MG-FPRSs) models in multi-granulation fuzzy probabilistic approximation space over twouniverses. Four types of MG-FPRSs are established, by the four different conditional probabilitiesof fuzzy event. For different constraints on parameters, we obtain four kinds of each type MG-FPRSs...

متن کامل

A New Approach for Knowledge Based Systems Reduction using Rough Sets Theory (RESEARCH NOTE)

Problem of knowledge analysis for decision support system is the most difficult task of information systems. This paper presents a new approach based on notions of mathematical theory of Rough Sets to solve this problem. Using these concepts a systematic approach has been developed to reduce the size of decision database and extract reduced rules set from vague and uncertain data. The method ha...

متن کامل

On $L$-double fuzzy rough sets

ur aim of this  paper  is  to introduce the concept of $L$-double fuzzy rough sets in whichboth constructive and axiomatic approaches are used. In constructive approach, a pairof $L$-double fuzzy lower (resp. upper) approximation operators is defined  and the basic properties of them  are studied.From the viewpoint of the axiomatic approach, a set of axioms is constructed to characterize the $L...

متن کامل

Rough sets theory in site selection decision making for water reservoirs

Rough Sets theory is a mathematical approach for analysis of a vague description of objects presented by a well-known mathematician, Pawlak (1982, 1991). This paper explores the use of Rough Sets theory in site location investigation of buried concrete water reservoirs. Making an appropriate decision in site location can always avoid unnecessary expensive costs which is very important in constr...

متن کامل

T-Rough Sets Based on the Lattices

The aim of this paper is to introduce and study set- valued homomorphism on lattices and T-rough lattice with respect to a sublattice. This paper deals with T-rough set approach on the lattice theory. The result of this study contributes to, T-rough fuzzy set and approximation theory and proved in several papers. Keywords: approximation space; lattice; prime ideal; rough ideal; T-rough set; set...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Knowl.-Based Syst.

دوره 40  شماره 

صفحات  -

تاریخ انتشار 2013