Distance and Similarity Measures of Interval Neutrosophic Soft Sets

In this paper several distance and similarity measures of interval neutrosophic soft sets are introduced. The measures are examined based on the geometric model, the set theoretic approach and the matching function.Finally,we have successfully shown an application of this similarity measure of interval neutrosophic soft sets.

[1]  A. Q. Ansari,et al.  Proposal for Applicability of Neutrosophic Set Theory in Medical AI , 2011 .

[2]  A. R. Roy,et al.  A fuzzy soft set theoretic approach to decision making problems , 2007 .

[3]  Xiaoyan Liu,et al.  On some new operations in soft set theory , 2009, Comput. Math. Appl..

[4]  F. Smarandache,et al.  Correlation Coefficient of Interval Neutrosophic Set , 2013 .

[5]  Ranjit Biswas,et al.  Neutrosophic Relational Database Decomposition , 2011 .

[6]  Eric C. C. Tsang,et al.  The parameterization reduction of soft sets and its applications , 2005 .

[7]  Shyi-Ming Chen.  A new approach to handling fuzzy decision-making problems , 1988 .

[8]  Ranjit Biswas,et al.  Deployment of neutrosophic technology to retrieve answer for queries posed in natural language , 2010, 2010 3rd International Conference on Computer Science and Information Technology.

[9]  Bekir Tanay,et al.  Computers and Mathematics with Applications , 2022 .

[10]  Yanqing Zhang,et al.  Interval Neutrosophic Sets and Logic: Theory and Applications in Computing , 2005, ArXiv.

[11]  Shyi-Mig Chen,et al.  A new approach to handling fuzzy decision-making problems , 1988, [1988] Proceedings. The Eighteenth International Symposium on Multiple-Valued Logic.

[12]  Said Broumi,et al.  Generalized Neutrosophic Soft Set , 2013, ArXiv.

[13]  Naim cCaugman,et al.  Similarity measures of intuitionistic fuzzy soft sets and their decision making , 2013, 1301.0456.

[14]  I. Turksen.  Interval valued fuzzy sets based on normal forms , 1986 .

[15]  A. Kharal.  A Neutrosophic Multi-Criteria Decision Making Method , 2014 .

[16]  Yanhui Guo,et al.  New neutrosophic approach to image segmentation , 2009, Pattern Recognit..

[17]  F. Smarandache,et al.  Several Similarity Measures of Neutrosophic Sets , 2013 .

[18]  Muhammad Irfan Ali,et al.  A note on soft sets, rough soft sets and fuzzy soft sets , 2011, Appl. Soft Comput..

[19]  Naim Çagman,et al.  Soft set theory and uni-int decision making , 2010, Eur. J. Oper. Res..

[20]  Feng Feng,et al.  Application of level soft sets in decision making based on interval-valued fuzzy soft sets , 2010, Comput. Math. Appl..

[21]  Jun Ye.  Similarity measures between interval neutrosophic sets and their multicriteria decision-making method , 2011 .

[22]  Pabitra Kumar Maji,et al.  Neutrosophic Soft Set , 2013 .

[23]  Irfan Deli,et al.  MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS , 2012 .

[24]  Ming Zhang,et al.  A neutrosophic approach to image segmentation based on watershed method , 2010, Signal Process..

[25]  Athar Kharal,et al.  On Fuzzy Soft Sets , 2009, Adv. Fuzzy Syst..

[26]  Naim Çagman,et al.  Soft sets and soft groups , 2007, Inf. Sci..

[27]  Florentin Smarandache,et al.  New distance and similarity measures of interval neutrosophic sets , 2014, 17th International Conference on Information Fusion (FUSION).

[28]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[29]  Rajshekhar Sunderraman,et al.  Single Valued Neutrosophic Sets , 2010 .

[30]  D. S. Yeung,et al.  Some notes on the parameterization reduction of soft sets , 2003, Proceedings of the 2003 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.03EX693).

[31]  Athar Kharal,et al.  DISTANCE AND SIMILARITY MEASURES FOR SOFT SETS , 2010, 1006.4904.

[32]  S. K. Samanta,et al.  SIMILARITY MEASURE OF SOFT SETS , 2008 .

[33]  D. Molodtsov.  Soft set theory—First results , 1999 .

[34]  Francisco Gallego Lupiáñez,et al.  On neutrosophic topology , 2008, Kybernetes.

[35]  K. V. Babitha,et al.  Soft set relations and functions , 2010, Comput. Math. Appl..

[36]  Florentin Smarandache,et al.  Cosine Similarity Measure of Interval Valued Neutrosophic Sets , 2014 .

[37]  Florentin Smarandache,et al.  A unifying field in logics : neutrosophic logic : neutrosophy, neutrosophic set, neutrosophic probability , 2020 .

[38]  Florentin Smarandache,et al.  Intuitionistic Neutrosophic Soft Set , 2013, ArXiv.

[39]  Przemyslaw Grzegorzewski,et al.  Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric , 2004, Fuzzy Sets Syst..

[40]  Swati Aggarwal,et al.  Neutrosophic modeling and control , 2010, 2010 International Conference on Computer and Communication Technology (ICCCT).

[41]  Peter Gluchowski,et al.  F , 1934, The Herodotus Encyclopedia.

[42]  Young Bae Jun,et al.  An adjustable approach to fuzzy soft set based decision making , 2010, J. Comput. Appl. Math..

[43]  Pinaki Majumdar,et al.  On similarity and entropy of neutrosophic sets , 2013, J. Intell. Fuzzy Syst..

[44]  Heng-Da Cheng,et al.  A NEW NEUTROSOPHIC APPROACH TO IMAGE THRESHOLDING , 2008 .

[45]  Hai Liu,et al.  Interval-valued intuitionistic fuzzy soft sets and their properties , 2010, Comput. Math. Appl..

[46]  Li Nai-cheng.  The induction and decision analysis of clinical diagnosisbased on rough sets and soft sets , 2004 .