Papers by Pinaki Majumdar
Zenodo (CERN European Organization for Nuclear Research), Feb 11, 2022
In this article some Dombi operations on Quadripartitioned single valued neutrosophic (QSVN) set ... more In this article some Dombi operations on Quadripartitioned single valued neutrosophic (QSVN) set are studied. Later on some QSVN weighted Dombi operators i.e. QSVNWDA and QSVNWDG operators are introduced and their properties are studied. Finally a vaccine distribution technique is solved with the help of QSVNWDA operator and QSVNWDG operator.
DOAJ (DOAJ: Directory of Open Access Journals), Feb 1, 2022
In this article the notion of two quadripartitioned single valued weighted dombi prioritized oper... more In this article the notion of two quadripartitioned single valued weighted dombi prioritized operators, namely, quadripartitioned single valued weighted dombi prioritized average (QSVNWDPA) operator and quadripartitioned single valued weighted dombi prioritized geometric (QSVNWDPG) operator have been developed which are based on quadripartitioned single valued neutrosophic (QSVN) sets. Further some important properties of these two operators are studied. Finally a multi-attribute decision making (MADM) problem has been solved using QSVNWDPA operator and QSVNWDPG operator.
Computers & Mathematics with Applications, 2010
In this paper, we define generalised fuzzy soft sets and study some of their properties. Applicat... more In this paper, we define generalised fuzzy soft sets and study some of their properties. Application of generalised fuzzy soft sets in decision making problem and medical diagnosis problem has been shown.
In this article the notion of two quadripartitioned single valued weighted dombi prioritized oper... more In this article the notion of two quadripartitioned single valued weighted dombi prioritized operators, namely, quadripartitioned single valued weighted dombi prioritized average (QSVNWDPA) operator and quadripartitioned single valued weighted dombi prioritized geometric ( QSVNWDPG) operator have been developed which are based on quadripartitioned single valued neutrosophic (QSVN) sets. Further some important properties of these two operators are studied. Finally a multi-attribute decision making (MADM) problem has been solved using QSVNWDPA operator and QSVNWDPG operator.
Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
In this chapter the notions of two hybrid soft sets, namely fuzzy parameterized soft sets and vag... more In this chapter the notions of two hybrid soft sets, namely fuzzy parameterized soft sets and vague soft sets has been discussed and some operations on them are defined. Some properties of these two hybrid soft sets under these operations are also studied. Application of fuzzy parameterized soft sets and vague soft sets in decision making has also been shown. Then the notion of similarity measure between two hybrid soft sets has been introduced and their basic properties are studied. Applications of these similarity measures in various problems like medical diagnosis and decision making have been shown. The idea of entropy of a fuzzy parameterized soft set has been introduced.
Neutrosophic Soft Digraph
Advances in Data Mining and Database Management, 2020
Neutrosophic soft sets are an important tool to deal with the uncertainty-based real and scientif... more Neutrosophic soft sets are an important tool to deal with the uncertainty-based real and scientific problems. In this chapter, the idea of neutrosophic soft (NS) digraph has been developed. These digraphs are mainly the graphical representation of neutrosophic soft sets. A graphical study of various set theoretic operations such as union, intersection, complement, cross product, etc. are shown here. Also, some properties of NS digraphs along with theoretical concepts are shown here. In the last part of the chapter, a decision-making problem has been solved with the help of NS digraphs. Also, an algorithm is provided to solve the decision-making problems using NS digraph. Finally, a comparative study with proposed future work along this direction has been provided.
INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS, 2019
In this paper we have proposed some new techniques based on the centroid of triangular and trapez... more In this paper we have proposed some new techniques based on the centroid of triangular and trapezoidal fuzzy numbers to solve a fuzzy linear programming problem. These proposed methods are easy to implement with less number of arithmetic operations required compared to the existing methods. To illustrate the proposed method, numerical examples are given. A comparative study between the proposed methods and existing methods are given at the end. The superiority of these centroid based methods over known ranking function method has also been shown with an example.
Proyecciones (Antofagasta), 2020
The notion of simple bipolar quadripartition is presented valuable neutrosophic set. Some basic s... more The notion of simple bipolar quadripartition is presented valuable neutrosophic set. Some basic set theoretic terminologies, operations and properties of bipolar quadripartitioned single valued neutrosophic set are given here. Also different types of distances, similarity measures and entropy measure are discussed. Finally a decision making problem using the similarity measure technique of bipolar quadripartitioned single valued neutrosophic sets has been solved.
A notion of Quadripartitioned Single Valued Neutrosophic Sets (QSVNS) is introduced and a theoret... more A notion of Quadripartitioned Single Valued Neutrosophic Sets (QSVNS) is introduced and a theoretical study on various set-theoretic operations on them has been carried out. The definitions of distance, similarity measure and entropy have been proposed. Finally an application of the proposed similarity measure in a problem pertaining to pattern recognition has been shown.
The theory of quadripartitioned single valued neutrosophic sets was proposed very recently as an ... more The theory of quadripartitioned single valued neutrosophic sets was proposed very recently as an extension to the existing theory of single valued neutrosophic sets. In this paper the notion of possibility fuzzy soft sets has been generalized into a new concept viz. Interval-valued possibility quadripartitioned single valued neutrosophic soft sets. Some basic set-theoretic operations have been defined on them. Some distance, similarity, entropy and inclusion measures for possibility quadripartitioned single valued neutrosophic sets have been proposed. An application in a decision making problem has been shown.
In this paper, we have defined different types of similarity measures between Neutrosophic Soft (... more In this paper, we have defined different types of similarity measures between Neutrosophic Soft (NS) sets and studied some of their properties. Finally we have solve a real life problem by using similarity measure of neutrosophic soft sets.
The notion of entropy of single valued neutrosophic sets (SVNS) was first introduced by Majumdar ... more The notion of entropy of single valued neutrosophic sets (SVNS) was first introduced by Majumdar and Samanta in [10]. In this paper some problems with the earlier definition of entropy has been pointed out and a new modified definition of entropy for SVNS has been proposed.
The notion of entropy of single valued neutrosophic sets (SVNS) was first introduced by Majumdar ... more The notion of entropy of single valued neutrosophic sets (SVNS) was first introduced by Majumdar and Samanta in [10]. In this paper some problems with the earlier definition of entropy has been pointed out and a new modified definition of entropy for SVNS has been proposed. Next four new types of entropy functions were defined with examples. Superiority of this new definition over the earlier definition of entropy has been discussed with proper examples.
An Interval Neutrosophic set (INS) is an instance of a Neutrosophic set and also an emerging tool... more An Interval Neutrosophic set (INS) is an instance of a Neutrosophic set and also an emerging tool for uncertain data processing in real scientific and engineering applications. In this paper, several distance and similarity measures between two Interval Neutrosophic sets have been discussed. Distances and similarities are very useful techniques to determine interacting segments in a data set.
The development of the theory of the single valued neutrosophic (SVN) digraph is done in this pap... more The development of the theory of the single valued neutrosophic (SVN) digraph is done in this paper. Also this paper introduces the concept of SVN signed digraph. Some basic terminologies and operations of SVN digraphs and SVN signed digraphs have been defined. Finally classification problem in a signed network system is solved with the help of SVN signed digraphs.
In this paper several similarity measures of fuzzy soft sets are introduced. The measures are exa... more In this paper several similarity measures of fuzzy soft sets are introduced. The measures are examined based on the geometric model, the set-theoretic approach and the matching function. A comparative study of these measures is done.
arXiv: General Mathematics, 2013
In the present paper a notion of soft linear space and soft norm on a soft linear space have been... more In the present paper a notion of soft linear space and soft norm on a soft linear space have been presented and some of their prop- erties have been studied. Soft vectors in soft linear spaces are introduced and their properties are investigated. Completeness of soft normed linear spaces, equivalent soft norms and convex soft sets are defined and some of their properties are examined in soft normed linear space settings. 2010 AMS Classification: 03E72, 08A72
viXra, 2015
In this paper, we have investigated single valued neutrosophic multisets in detail. Several opera... more In this paper, we have investigated single valued neutrosophic multisets in detail. Several operations have been dened on them and their important algebraic properties are studied.We have further introduced the notion of distance and similarity measures between two single valued neu- trosophic multisets. An application of single valued neutrosophic multisets in medical diagnosis has been discussed. 2010 AMS Classication: 03E72, 03E75
Decision making based on similarity measure of vague soft sets
Journal of Intelligent & Fuzzy Systems, 2013
In this paper the notion of similarity between vague soft sets have been introduced. Two types of... more In this paper the notion of similarity between vague soft sets have been introduced. Two types of measures of similarity have been introduced which are based on Hausdorff metric and set theoretic approach respectively. Some properties of these measures have also been studied. Application of each similarity measure in a decision making problem has been shown. A comparison of this new decision making technique with an earlier available technique has been done.
Malaya Journal of Matematik, 2019
In this paper, some properties of a soft digraph are studied. In this connection some terminologi... more In this paper, some properties of a soft digraph are studied. In this connection some terminologies regarding soft digraphs are defined. Also, the relationship between digraphs and matrices are studied. Later on soft tournaments are introduced and some properties of soft tournaments are discussed. Finally applications of soft digraphs and tournaments in solving decision making problem, traffic flow problem and determination of the strongest team in a cricket championship are shown.
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Papers by Pinaki Majumdar