Bipolar quadripartitioned single valued neutrosophic sets

• Sinha, Kalyan ^[1] ; Majumdar, Pinaki ^[2]
  1. [1] Acharya Brojendra Nath Seal College.
  2. [2] Maharajadhiraj Uday Chand Women's College.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 6, 2020, págs. 1597-1614
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2020-06-0095
• Enlaces
  • Texto completo
• Resumen

  • 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.

• Referencias bibliográficas
  • K. Atanassov, “Intuitionistic fuzzy sets”, Fuzzy sets and systems, vol. 20, no. 1, pp. 8796, Aug. 1986, doi: 10.1016/S0165-0114(86)80034-3
  • A. Aydo?du, “On similarity and entropy of single valued neutrosophic sets”, General mathematics notes, vol. 29, no. 1, pp. 67-74, Jul. 2015....
  • N. D. Belnap, “A useful four-valued logic”, in Modern uses of multiple-valued logic, J. M. Dunn and G. Epstein, Eds. Dordrecht: Springer,...
  • S. Broumi and F. Smarandache, "New distance and similarity measures of interval neutrosophic sets", 17th International Conference...
  • R. Chatterjee, P. Majumdar, and S. K. Samanta, “On some similarity measures and entropy on quadripartitioned single valued neutrosophic sets”,...
  • I. Deli, M. Ali, and F. Smarandache, "Bipolar neutrosophic sets and their application based on multi-criteria decision making problems",...
  • F. Karaaslan, “Neutrosophic soft sets with applications in decision making”, International journal of information science and intelligent...
  • K. Lee, Bipolar-valued fuzzy sets and their operations, Proceedings of the International Conference on Intelligent Technologies, Bangkok,...
  • K. Lee, “Bipolar fuzzy subalgebras and bipolar fuzzy ideals of BCK/BCI algebras”, Bulletin of the Malaysian Mathematical Sciences Society,...
  • P. Majumdar, “Neutrosophic sets and its applications to decision making”, in Computational intelligence for big data analysis, D. P. Acharjya,...
  • J. M. Merigo and M. Casanovas, “Decision making with distance measures and induced aggregation operators”, Computers and industrial engineering,...
  • J. M. Merigo and M. Casanovas, “Induced aggregation operators in the Euclidean distance and its application in financial decision making”,...
  • J. M. Merigo and R.R. Yager, “Generalized moving averages, distance measures and OWA operators”, International journal of uncertainty, fuzziness...
  • A. B. Saeid, “Bipolar-valued fuzzy BCK/BCI-algebras”, World applied sciences journal, vol. 7, no. 11, pp. 1404-1411, 2009. [On line]. Available:...
  • V. Santhi and G. Shyamala, Notes on bipolar-valued multi fuzzy subgroups of a group, International journal mathematics archive, vol. 6, no....
  • F. Smarandache, "Neutrosophic set-a generalization of the intuitionistic fuzzy set”, 2006 IEEE International Conference on Granular Computing,...
  • F. Smarandache, "A geometric interpretation of the neutrosophic set — A generalization of the intuitionistic fuzzy set”, 2011 IEEE International...
  • F. Smarandache, “ Neutrosophic Set - a unifying field in set”, in A unifying field in logics : neutrosophic logic : neutrosophy, neutrosophic...
  • H. Wang, F. Smarandache, Y. Zhang, and R. Sunderraman, “Single valued neutrosophic sets”, Review of the Air Force Academy, no. 1, pp. 10-14,...
  • J. Ye, “Vector similarity measures of simplified neutrosophic sets and their application in multicriteria decision making”, International...
  • J. Ye and Q. Zhang, “Single Valued Neutrosophic Similarity Measures for Multiple Attribute Decision-Making”,Neutrosophic sets and systems,...
  • J. Ye and Q. Zheng, “Dice similarity measure between single valued neutrosophic multisets and its application in medical diagnosis”, Neutrosophic...
  • J. Ye and Q. Zheng, “Multi-period medical diagnosis method using a single valued neutrosophic similarity measure based on tangent function”,...
  • L. A. Zadeh, “Fuzzy sets”, Information and control, vol. 8, no. 3, pp. 338-353, Jun. 1965, doi: 10.1016/S0019-9958(65)90241-X