Intuitionistic Neutrosphic Soft Set over Rings
Mathematics and StatisticsPublished 1 March 2014Open access
Said Broumi, Florentín Smarandache, Pabitra Kumar Maji
Citations9
SJR quartileQ3
SJR score0.26
SNIP0.86
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
Smarandache introduced the concept of intuitionistic neutrosophic soft set as an extension of the soft set theory.In this paper we have applied the concept of intuitionistic neutrosophic soft set to rings theory .The notion of intuitionistic neutrosophic soft set over ring (INSSOR for short ) is introduced and their basic properties have been investigated.The definitions of intersection, union, AND, and OR operations over ring (INSSOR) have also been defined.Finally, we have defined the product of two intuitionistic neutrosophic soft set over ring.
Keywords
Computer ScienceDecision Sciences
Fuzzy Sets and SystemsIntuitionistic fuzzy sets
16,153 Citations1986Krassimir Atanassov
Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Computers & Mathematics with ApplicationsSoft set theory—First results
4,633 Citations1999D.A. Molodtsov
The main purpose of this paper is to introduce the basic notions of the theory of soft sets, to present the first results of the the theory, and to discuss some problems of the future.
Studies in fuzziness and soft computingIntuitionistic Fuzzy Sets
2,163 Citations1999Krassimir Atanassov
viXraSingle Valued Neutrosophic Sets
1,332 Citations2010Haibin Wang, Florentín Smarandache +2 more
This work defines the settheoretic operators on an instance of neutrosophic set, and provides various properties of SVNS, which are connected to the operations and relations over SVNS.
Information SciencesSoft sets and soft groups
1,095 Citations2007Hacı Aktaş, Naim Çağman
The basic properties of soft sets are introduced, and compare soft sets to the related concepts of fuzzy sets and rough sets, and a definition of soft groups is given.
Fuzzy Sets and SystemsInterval valued fuzzy sets based on normal forms
1,078 Citations1986İ.B. Türkşen
It is shown that the proposed representation exists for certain families of the conjugate pairs of t-norms and t-conorms and resolves some of the difficulties associated with particular interpretations of conjunction, disjuntion, and implication in fuzzy set theories.
A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability
720 Citations2008Florentín Smarandache
Computers & Mathematics with ApplicationsSoft sets and soft rings
417 Citations2010Ummahan Acar, Fatih Koyuncu +1 more
Computers & Mathematics with ApplicationsIntroduction to fuzzy soft groups
256 Citations2009Abdülkadir Aygünoğlu, Halis Aygün
Advances in Fuzzy SystemsOn Fuzzy Soft Sets
171 Citations2009Bashir Ahmad, Athar Kharal
The properties of fuzzy soft sets as defined and studied in the work of Maji et al. (2001), Roy and Maji (2007), and Yang and Yang (2007) are supported.
Advances in Decision SciencesPossibility Fuzzy Soft Set
158 Citations2011Shawkat Alkhazaleh, Abdul Razak Salleh +1 more
The concept of possibility fuzzy soft set and its operation is introduced and some of its properties are studied and applications of this theory in solving a decision-making problem are given.
Computer Science and EngineeringGeneralized Neutrosophic Set and Generalized Neutrosophic Topological Spaces
116 Citations2013A. A. Salama
Several properties are obtained, and the relationship between generalized neutrosophic sets and others is discussed, and possible applicat ion to GIS topology rules are touched upon.
arXiv (Cornell University)Intuitionistic Neutrosophic Soft Set
103 Citations2014Said Broumi, Florentín Smarandache
The concept of intuitionistic neutrosophic set of Bhowmik and Pal is introduced in soft sets and some properties of this concept have been established.
Computers & Mathematics with ApplicationsSoft groups and normalistic soft groups
88 Citations2011Aslıhan Sezgin, Akın Osman Atagün
The concepts of normalistic soft group and normalistic Soft sets and soft groups homomorphism are introduced, their several related properties are studied, and some structures that are preserved under normalisticsoft group homomorphisms are investigated.
New Mathematics and Natural ComputationA Neutrosophic Multi-Criteria Decision Making Method
74 Citations2014Athar Kharal
To illustrate the computational details, neut-MCDM has been applied to the problem of university faculty selection against a given set of criteria and furnishes the fundamentals of neutrosophic set theory succinctly, to provide a first introduction of neutrophic sets for the MCDM community.
Advances in Decision SciencesPossibility Intuitionistic Fuzzy Soft Set
64 Citations2012Maruah Bashir, Abdul Razak Salleh +1 more
Possibility intuitionistic fuzzy soft set and its operations are introduced, and a few of their properties are studied, and an application of these sets in decision making is investigated.
KybernetesOn neutrosophic topology
63 Citations2008Francisco Gallego Lupiáñez
This paper aims to show that one can expect some relation between the intuitionistic fuzzy topology on an IFS and the neutrosophic topology, and shows that this is false.
International Journal of Computer ApplicationsProposal for Applicability of Neutrosophic Set Theory in Medical AI
57 Citations2011Abdul Quaiyum Ansari, Ranjit Biswas +1 more
This paper suggests incorporating a new logic: Neutrosophic logic in medical domain and also discusses the possibility of extending the capabilities of the fuzzy systems by employing neutrosophics systems.
Neutrosophic modeling and control
55 Citations2010Swati Aggarwal, Ranjit Biswas +1 more
This paper discusses how neutrosophic logic can be utilized for modeling and control for which block diagram of neutrosphic inference system is proposed, and designing of relatively simple neutrosophile classifier has been attempted.
International Journal of Advanced Computer Science and ApplicationsNeutrosophic Relational Database Decomposition
50 Citations2011Meena Arora, Ranjit Biswas +1 more
This paper presents a method of decomposing a neutrosophic database relation with Neutrosophics attributes into basic relational form and is capable of manipulating incomplete as well as inconsistent information.
viXraIntuitionistic Neutrosophic Set
46 Citations2009Monoranjan Bhowmik, Madhumangal Pal +1 more
This paper defines intuitionistic neutrosophic set (INSs) and truth-value based INSs and defines some new operations on INSs with examples for the implementation of the operations in real life problems.
Neural Computing and ApplicationsFuzzy soft rings and fuzzy soft ideals
41 Citations2011Ebubeki̇r İnan, Mehmet Ali̇ Öztürk
Fuzzy soft subring that is generalization of fuzzy soft ring and some of their basic properties are studied.
Zenodo (CERN European Organization for Nuclear Research)Intuitionistic Neutrosophic Set Relations And Some Of Its Properties
41 Citations2010Monoranjan Bhowmik, Madhumangal Pal
It is shown by means of example that the definition for neutrosophic sets the complement and union are not true for INSs also give new definition of complement, union and intersection of INSs.
viXraA Neutrosophic Multicriteria Decision Making Method
36 Citations2013Athar Kharal
To illustrate the computational details, neut-MCDM has been applied to the problem of university faculty selection against a given set of criteria to provide a first introduction of neutrosophic sets for the MCDM community.
Fuzzy Soft Rings and Fuzzy Soft Ideals
25 Citations2011Jayanta Ghosh, Bivas Dinda
Vague Soft Rings and Vague Soft Ideals
7 Citations2012Ganeshsree Selvachandran, Abdul Razak Salleh
The novel concepts of vague soft rings, vague soft ideals of a ring and the vague soft ideal of a vague soft ring are introduced using Rosenfeld's approach, which can help to overcome the problems faced when using ordinary soft sets or fuzzy soft sets.
Soft Rings Related to Fuzzy Set Theory ABSTRACT | FULL TEXT
3 Citations2013Xianping Liu, Dajing Xiang +2 more
This work deals with soft rings based on some fuzzy sets by using the so called ∈ −soft sets and q-soft sets, which are characterized by special soft sets.
Zenodo (CERN European Organization for Nuclear Research)Neutrosophic Modeling And Control
2 Citations2016Aggarwal Swati, Ranjit Biswas +1 more