14 research outputs found
Bipolar quadripartitioned single valued neutrosophic rough set
Here bipolar quadripartitioned single valued neutrosophic rough (BQSVNR) set is introduced. Some
basic set theoretic terminologies like constant BQSVNR set, subsethood of two BQSVNR sets are shown.
Algebraic operations like union, intersection and complement have also been dened. Dierent types of measure
like similarity measure, quasi similarity measure and distance measures between two BQSVNR sets have been
discussed with their properties. Again various measures of similarity namely distance based similarity measure,
cosine similarity measure, membership function based similarity measure are introduced in this paper. A
medical diagonasis problem has been solved using similarity measure at the end
Quadripartitioned single valued neutrosophic rough sets and their applications in decision making
This paper introduces the notion of quadripartitioned single valued neutrosophic rough set. Some basic set metaphysical terminologies, operations and properties of quadripartitioned single valued neutrosophic rough set are given here. Conjointly different kinds of distances and similarity measures are mentioned here. Finally a decision making problem using the similarity measure technique of quadripartitioned single valued neutrosophic rough sets has been solved.Publisher's Versio
Rough Neutrosophic Sets
Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information .In this paper we develop an hybrid structure called “ rough neutrosophic sets” and studied their properties
Rough Neutrosophic Sets
Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information .In this paper we develop an hybrid structure called “ rough neutrosophic sets” and studied their properties
Interval Neutrosophic Rough Sets
This Paper combines interval- valued neutrouphic sets and rough sets. It studies roughness in interval- valued neutrosophic sets and some of its properties. Finally we propose a Hamming distance between lower and upper approximations of interval valued neutrosophic sets
Interval Neutrosophic Rough Sets
This Paper combines interval- valued neutrouphic sets and rough sets. It studies roughness in interval- valued neutrosophic sets and some of its properties. Finally we propose a Hamming distance between lower and upper approximations of interval valued neutrosophic sets
Soft Interval-Valued Neutrosophic Rough Sets
In this paper, we first defined soft intervalvalued neutrosophic rough sets(SIVN- rough sets for short) which combines interval valued neutrosophic soft set and rough sets and studied some of its basic properties. This concept is an extension of soft interval valued intuitionistic fuzzy rough sets( SIVIF- rough sets). Finally an illustartive example is given to verfy the developped algorithm and to demonstrate its practicality and effectiveness
Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making
The soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. In this paper, we present concepts of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets, and investigate some properties of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets in detail. Furthermore, classical representations of intuitionistic fuzzy soft rough approximation operators are presented. Finally, we develop an approach to intuitionistic fuzzy soft rough sets based on decision making and a numerical example is provided to illustrate the developed approach