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A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications

Khizar Hayat, Muhammad Irfan Ali, Bing-Yuan Cao, Xiao-Peng Yang
2017 Advances in Fuzzy Systems  
We introduce vertex-neighbors based type-2 soft sets over X (set of all vertices of a graph) and E (set of all edges of a graph).  ...  Type-2 soft sets are also based on the correspondence of primary parameters and underlying parameters. In this study, we present an application of type-2 soft sets in graph theory.  ...  In this study, we present an application of type-2 soft set in graph theory.  ... 
doi:10.1155/2017/6162753 fatcat:6fdql6oibrah3l7rou2zfaw4lu

Solving Set Cover and Dominating Set via Maximum Satisfiability

Zhendong Lei, Shaowei Cai
2020 PROCEEDINGS OF THE THIRTIETH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE AND THE TWENTY-EIGHTH INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE CONFERENCE  
The Set Covering Problem (SCP) and Dominating Set Problem (DSP) are NP-hard and have many real world applications.  ...  SCP and DSP can be encoded into Maximum Satisfiability (MaxSAT) naturally and the resulting instances share a special structure.  ...  We use U = (X, Y, W ) to denote a SCP instance. DSP: An undirected graph G = (V, E) consists of a vertex set V and an edge set E ⊆ V ×V in which each edge is a 2-element subset of V .  ... 
doi:10.1609/aaai.v34i02.5517 fatcat:7fbfhlm6ffatjmpvhelpmuklqy

An Intelligent Traffic Control System Using Neutrosophic Sets, Rough sets, Graph Theory, Fuzzy sets and its Extended Approach: A Literature Review

Broumi Said, Malayalan Lathamaheswari, Prem Kumar Singh, A. Ait Ouallane
2022 Zenodo  
The rough set theory can be useful for dealing the uncertain, incomplete, and indeterminate data set.  ...  To deal with this issue some available mathematical technique for traffic flow using rough set, fuzzy rough set, and its extension with the neutrosophic set is discussed in this paper.  ...  Acknowledgements : Author thanks anonymous reviewers for their valuable suggestions and comments. Funding : There is no funding for this paper.  ... 
doi:10.5281/zenodo.6774620 fatcat:c3ufhug2hzch5frihb4pnnbufu

Survey or Review on Soft Set Theory and Development

Saakshi Saraf
2013 The SIJ Transactions on Computer Science Engineering & its Applications (CSEA)  
Soft set theory is a new mathematical tool for dealing with uncertainties and is a set associated with parameters and has been applied in several directions.  ...  In this paper, define the notion of soft sets, and the study that are interesting and valuable in the theory of soft sets, which emphasis on a series of applications especially in decision making problems  ...  Also define new types of soft sets such as full soft sets, intersection complete soft sets and partition soft sets.  ... 
doi:10.9756/sijcsea/v1i3/0103510101 fatcat:l7z32d636zdwbdhmkr6sgm3yma

Applications of Soft Set in Decision Making Problems

B.V.S.T. Sai
2020 Global Journal of Pure and Applied Mathematics  
In this paper we present some of the main developments in the Applications of soft set theory as a survey of literature motivated by Molodtsov.  ...  The results of their experiments reveal that information systems and partition-type soft sets share a common formal structure. For instance fuzzy information systems and fuzzy soft sets are equal.  ...  Thus search for new theories has been continued. In 1982 Z. Pawlak [2] came up with his Rough set theory.  ... 
doi:10.37622/gjpam/16.2.2020.305-324 fatcat:rntj66shtzanrol7rwiavneaim

Combination Of Interval-Valued Neutrosophic Soft Sets And Graph Theory

Yildiray Celik, Guven Kara
2018 Zenodo  
In this paper, we combine the concepts of interval-valued neutrosophic soft set and graph theory.  ...  We also present several different types operations including cartesian product, union and intersection on interval-valued neutrosophic soft graphs and investigate some properties of them.  ...  Some more work on single valued neutrosophic sets, neutrosophic sets, interval valued neutrosophic sets and their applications may be found on [7, 8, 9, 10, 11, 12] .  ... 
doi:10.5281/zenodo.1412535 fatcat:mivcrfv7h5c4jjnbuaf2afxlua

Soft Linear Set Theory

Richard McKinley
2008 The Journal of Logic and Algebraic Programming  
A novelty of this approach is the representation of the unary/binary natural numbers by two distinct sets (the safe naturals and the soft naturals).  ...  A formulation of naive set theory is given in Lafont's Soft Linear Logic, a logic with polynomial time cut-elimination.  ...  Acknowledgements I should like to thank Yves Lafont for some initial help, and Thomas Strahm for discussions on the work of Bellantoni and Cook.  ... 
doi:10.1016/j.jlap.2008.02.010 fatcat:jkg26rx7b5b5pixne4xi5m7cfq

Combination of interval-valued neutrosophic soft sets and graph theory

Yildiray Celik, Guven Kara
2018 New Trends in Mathematical Sciences  
In this paper, we combine the concepts of interval-valued neutrosophic soft set and graph theory.  ...  We also present several different types operations including cartesian product, union and intersection on interval-valued neutrosophic soft graphs and investigate some properties of them.  ...  Some more work on single valued neutrosophic sets, neutrosophic sets, interval valued neutrosophic sets and their applications may be found on [7, 8, 9, 10, 11, 12] .  ... 
doi:10.20852/ntmsci.2018.273 fatcat:v3lo2vradval5p7jh3i5bwpdei

An Efficient Soft Set-Based Approach for Conflict Analysis

Edi Sutoyo, Mungad Mungad, Suraya Hamid, Tutut Herawan, Yong Deng
2016 PLoS ONE  
In this paper, we present an alternative approach to handle conflict situations, based on some ideas using soft set theory.  ...  The novelty of the proposed approach is that, unlike in rough set theory that uses decision rules, it is based on the concept of co-occurrence of parameters in soft set theory.  ...  Acknowledgments This work is supported by University of Malaya High Impact Research Grant no vote UM.C/ 625/HIR/MOHE/SC/13/2 from Ministry of Education Malaysia. Author Contributions  ... 
doi:10.1371/journal.pone.0148837 pmid:26928627 pmcid:PMC4771869 fatcat:2vxz5jbobzftfgjp5fgcqqyc7y

Bipolar neutrosophic soft generalized pre-closed sets and pre-open sets in topological space

Arulpandy P, Trinita Pricilla M
2022 Zenodo  
A bipolar neutrosophic soft generalized pre-closed sets and bipolar neutrosophic soft generalized pre-open sets are proposed along with their properties.  ...  In this paper, the generalization of bipolar neutrosophic soft set and their classifications are proposed.  ...  In a similar manner, we take a fusion of generalized pre-sets (both open and closed) with bipolar neutrosophic soft set and defined new classes namely, bipolar neutrosophic soft generalized pre-cloesd  ... 
doi:10.5281/zenodo.6426460 fatcat:nzzi4ji3ere2ldaobscavm36te

A Hybrid Model for Decision Making Utilizing TFNs and Soft Sets as Tools

Michael Gr. Voskoglou
2022 EQUATIONS  
In this work a new hybrid decision making method is developed utilizing triangular fuzzy numbers (TFNs) and soft sets as tools, which improves an earlier method of Maji, Roy and Biswas, which uses soft  ...  sets only.  ...  ., Type-2 fuzzy numbers made simple in decision making, Fuzzy Optimization and Decision Making, 21, 2022, pp.175-195. [6] Maji, P.K., Roy, A.R., Biswas, R., An Application of Soft Sets in a Decision Making  ... 
doi:10.37394/232021.2022.2.11 fatcat:4wr7e2fmqvemvg2wjeebt4lbv4

Recent Literature

2007 Fuzzy sets and systems (Print)  
Paoli, *-autonomous lattices and fuzzy sets, Soft Comput. 10(7) (2006) 607-617. Z.  ...  Guo, Variable fuzzy sets and its application in comprehensive risk evaluation for flood-control engineering system, Fuzzy Optim. Decision Making 5(2) (2006) 153-162. D.K. Sharma, D. Ghosh, J.A.  ... 
doi:10.1016/j.fss.2007.01.002 fatcat:6d6kezwq2je25mb4us4ieruas4

Towards Flexible Retrieval, Integration and Analysis of JSON Data Sets through Fuzzy Sets: A Case Study

Paolo Fosci, Giuseppe Psaila
2021 Information  
as well as constructs to apply fuzzy set theory to JSON documents and to provide analysts with the capability to perform imprecise queries on documents by means of flexible soft conditions.  ...  This paper presents a practical case study in which real data sets are retrieved, integrated and analyzed to effectively show the unique and innovative capabilities of the J-CO Framework.  ...  The paper is interesting because it considered a different type of NoSQL databases, i.e., graph databases.  ... 
doi:10.3390/info12070258 fatcat:g645if76jndftiplcwm7kofkiy

A distinct approach to diagnose Dengue Fever with the help of Soft Set Theory [article]

Maaz Amjad, fariha Bukhari, Iqra Ameer, Alexander Gelbukh
2018 arXiv   pre-print
In this paper, we used an expert system based on soft set theory and fuzzy set theory named as a soft expert system to diagnose tropical disease dengue.  ...  The objective to use soft expert system is to predict the risk level of a patient having dengue fever by using input variables like age, TLC, SGOT, platelets count and blood pressure.  ...  [2] investigated how to reduce parameters and highlighted the applications of soft sets.  ... 
arXiv:1805.09169v3 fatcat:uadfeh3jafdcjm3glaeeq7uo5a

A Soft Set Approach for Handling Conflict Situation on Movie Selection

Khalid Haruna, Maizatul Akmar Ismail, Mohammad Suyanto, Lubna A. Gabralla, Abdullahi Baffa Bichi, Sani Danjuma, Habeebah Adamu Kakudi, Muhammad Sani Haruna, Saber Zerdoumi, Jemal H. Abawajy, Tutut Herawan
2019 IEEE Access  
Our motivation is to provide a new measure based on support, strength, certainty and coverage of soft set on movie selection problem.  ...  However, there is a great concern in the computational time of the rough set approach in determining strength, certainty and coverage of conflicts.  ...  The review compares different algorithms of parameter reduction based on some types of soft sets to emphasize their respective advantages and disadvantages and give examples to illustrate their differences  ... 
doi:10.1109/access.2019.2892778 fatcat:ixmh7s77ujdwfdcqfdxc3s7nju
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