BibTex RIS Kaynak Göster

Generalized Interval Neutrosophic Soft Set and its Decision Making Problem

Yıl 2014, Cilt: 3 Sayı: 7, 29 - 47, 01.07.2014

Öz

– In this work, we introduce the concept of generalized interval neutrosophic soft set and study their operations. Finally, we present an application of generalized interval neutrosophic soft set in decision making problem

Kaynakça

  • A. Kharal, A Neutrosophic Multicriteria Decision Making Method, New Mathematics and Natural Computation, Creighton University, USA, 2013.
  • A.Q. Ansaria, R. Biswas and S. Aggarwal, Neutrosophic classifier:An extension of fuzzy classifer, Applied Soft Computing 13 (2013) 563-573.
  • A. Q. Ansari, R. Biswas and S. Aggarwal, Proposal for Applicability of Neutrosophic Set Theory in Medical AI, International Journal of Computer Applications, 27/5 (2011) 5-11.
  • B. Schweirer, A. Sklar, Statistical metric space, PaciŞc Journal of Mathematics 10 (1960) 314-3
  • D. A. Molodtsov, Soft Set Theory First Result, Computers and Mathematics with Applications, 37 (1999) 19-31.
  • D. Rabounski F. Smarandache L. Borissova Neutrosophic Methods in General Relativity, Hexis, (2005).
  • F. G. Lupiáñez, On neutrosophic topology, Kybernetes, 37/6 (2008) 797-800.
  • F. Smarandache, A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. Rehoboth: American Research Press,(1998).
  • H. Wang, F. Smarandache, Y. Zhang, and R. Sunderraman, Interval Neutrosophic Sets and Logic: Theory and Applications in Computing, Hexis, Phoenix, AZ, (2005).
  • I.B. Turksen, Interval valued fuzzy sets based on normal forms. Fuzzy Sets and Systems, 20 (1968) 191–210.
  • I.Deli and S.Broumi,Neutrosophic multisets and its application in medical diagnosis, 2014,(submmited) I. Deli, Interval-valued neutrosophic soft sets and its decision making http://arxiv.org/abs/1402.3130
  • K. Atanassov, Intuitionistic fuzzy sets.Fuzzy Sets and Systems, 20 (1986) 87–96.
  • K. Atanassov and G. Gargov, Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems.International Journal of General Systems 393, 31 (1998) 343–349.
  • K.Alhazaymeh and N.Hassan,Generalized IntervalValued Vague Soft Set, Applied Mathematical Sciences, 7 (2013) 6983 - 6988 ,http://dx.doi.org/10.12988/ams.2013.310575.
  • L. A. Zadeh, Fuzzy sets. Information and Control, 8 (1965) 338-353.
  • M. Arora, R. Biswas and U.S. Pandy, Neutrosophic Relational Database Decomposition, International Journal of Advanced Computer Science and Applications, 2(8) (2011) 121
  • M. Arora and R. Biswas, Deployment of Neutrosophic Technology to Retrieve Answers for Queries Posed in Natural Language, in 3rdInternational Conference on Computer Science and Information Technology, (2010) 435-439.
  • P. Chi and L. Peide, An Extended TOPSIS Method for the Multiple Attribute Decision Making Problems Based on Interval Neutrosophic, Neutrosophic Sets and Systems, 1 (2013) 63-70.
  • P.K. Maji, R. Biswas, A.R. Roy, Intuitionistic fuzzy soft sets, J. Fuzzy Math. 9, 677–692 (2001).
  • P.K. Maji, Neutrosophic Soft Set, Annals of Fuzzy Mathematics and Informatics,Vol 5, No. 1, ISSN: 2093-9310, ISSN: 2287-623.
  • P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9(3) (2001) 589- 60
  • R. Sahin and A. Kucuk, Generalised Neutrosophic Soft Set and its Integration to Decision Making Problem, Appl. Math. Inf. Sci. 8(6) (2014) 2751-2759
  • R. Şahin and A. Küçük, On Similarity and Entropy of Neutrosophic Soft Sets, Journal of Intelligent and Fuzzy Systems, DOI: 10.3233/IFS-141211.
  • S. Aggarwal, R. Biswas and A. Q. Ansari, Neutrosophic Modeling and Control, Computer and Communication Technology (2010) 718-723.
  • S.Broumi and F. Smarandache, Intuitionistic Neutrosophic Soft Set, Journal of Information and Computing Science, England, UK, 8(2)(2013) 130-140.
  • S.Broumi, Generalized Neutrosophic Soft Set, International Journal of Computer Science, Engineering and Information Technology, 3(2) (2013) 17-30.
  • S.Broumi, F. Smarandache, Correlation Coefficient of Interval Neutrosophic set, Periodical of Applied Mechanics and Materials, Vol. 436, 2013, with the title
  • Engineering Decisions and Scientific Research in Aerospace, Robotics, Biomechanics, Mechanical Engineering and Manufacturing; Proceedings of the International Conference ICMERA, Bucharest, October 2013.
  • S.Broumi, F. Smarandache, Several Similarity Measures of Neutrosophic Sets, Neutrosophic Sets and Systems, 1, (2013)54-62.
  • S. Broumi, I. Deli, and F. Smarandache, Relations on Interval Valued Neutrosophic Soft Sets, Journal of New Results in Science, 5 (2014) 1-20
  • S. Broumi, F. Smarandache, More on Intuitionistic Neutrosophic Soft Sets, Computer Science and 13189/csit.2013.010404.
  • S.Broumi, I. Deli, F. Smarandache, Neutrosophic Parametrized Soft Set theory and its decision making problem, International Frontier Science Lettre,Vol 1 NO 1,2014,1-11.
  • S.Broumi, M.Dhar and F.Smarandache, Rough neutrosophic sets, (in press). 2013;DOI:
  • I.Deli, and S.Broumi, Neutrosophic soft relations and some properties, Annals of Fuzzy Mathematics and Informatics (AFMI), 2014.(accepted)
  • W. Xu, J. Ma, S. Wang and G. Hao, Vague soft sets and their properties Comput. Math. Appl. 59(2) (2010) 787-794.
  • Y. Jiang, Y. Tang, Q. Chen, H. Liu, and J. Tang, Interval-valued intuitionistic fuzzy soft sets and their properties. Computers and Mathematics with Applications 60, 906–918 (2010).
Yıl 2014, Cilt: 3 Sayı: 7, 29 - 47, 01.07.2014

Öz

Kaynakça

  • A. Kharal, A Neutrosophic Multicriteria Decision Making Method, New Mathematics and Natural Computation, Creighton University, USA, 2013.
  • A.Q. Ansaria, R. Biswas and S. Aggarwal, Neutrosophic classifier:An extension of fuzzy classifer, Applied Soft Computing 13 (2013) 563-573.
  • A. Q. Ansari, R. Biswas and S. Aggarwal, Proposal for Applicability of Neutrosophic Set Theory in Medical AI, International Journal of Computer Applications, 27/5 (2011) 5-11.
  • B. Schweirer, A. Sklar, Statistical metric space, PaciŞc Journal of Mathematics 10 (1960) 314-3
  • D. A. Molodtsov, Soft Set Theory First Result, Computers and Mathematics with Applications, 37 (1999) 19-31.
  • D. Rabounski F. Smarandache L. Borissova Neutrosophic Methods in General Relativity, Hexis, (2005).
  • F. G. Lupiáñez, On neutrosophic topology, Kybernetes, 37/6 (2008) 797-800.
  • F. Smarandache, A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. Rehoboth: American Research Press,(1998).
  • H. Wang, F. Smarandache, Y. Zhang, and R. Sunderraman, Interval Neutrosophic Sets and Logic: Theory and Applications in Computing, Hexis, Phoenix, AZ, (2005).
  • I.B. Turksen, Interval valued fuzzy sets based on normal forms. Fuzzy Sets and Systems, 20 (1968) 191–210.
  • I.Deli and S.Broumi,Neutrosophic multisets and its application in medical diagnosis, 2014,(submmited) I. Deli, Interval-valued neutrosophic soft sets and its decision making http://arxiv.org/abs/1402.3130
  • K. Atanassov, Intuitionistic fuzzy sets.Fuzzy Sets and Systems, 20 (1986) 87–96.
  • K. Atanassov and G. Gargov, Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems.International Journal of General Systems 393, 31 (1998) 343–349.
  • K.Alhazaymeh and N.Hassan,Generalized IntervalValued Vague Soft Set, Applied Mathematical Sciences, 7 (2013) 6983 - 6988 ,http://dx.doi.org/10.12988/ams.2013.310575.
  • L. A. Zadeh, Fuzzy sets. Information and Control, 8 (1965) 338-353.
  • M. Arora, R. Biswas and U.S. Pandy, Neutrosophic Relational Database Decomposition, International Journal of Advanced Computer Science and Applications, 2(8) (2011) 121
  • M. Arora and R. Biswas, Deployment of Neutrosophic Technology to Retrieve Answers for Queries Posed in Natural Language, in 3rdInternational Conference on Computer Science and Information Technology, (2010) 435-439.
  • P. Chi and L. Peide, An Extended TOPSIS Method for the Multiple Attribute Decision Making Problems Based on Interval Neutrosophic, Neutrosophic Sets and Systems, 1 (2013) 63-70.
  • P.K. Maji, R. Biswas, A.R. Roy, Intuitionistic fuzzy soft sets, J. Fuzzy Math. 9, 677–692 (2001).
  • P.K. Maji, Neutrosophic Soft Set, Annals of Fuzzy Mathematics and Informatics,Vol 5, No. 1, ISSN: 2093-9310, ISSN: 2287-623.
  • P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9(3) (2001) 589- 60
  • R. Sahin and A. Kucuk, Generalised Neutrosophic Soft Set and its Integration to Decision Making Problem, Appl. Math. Inf. Sci. 8(6) (2014) 2751-2759
  • R. Şahin and A. Küçük, On Similarity and Entropy of Neutrosophic Soft Sets, Journal of Intelligent and Fuzzy Systems, DOI: 10.3233/IFS-141211.
  • S. Aggarwal, R. Biswas and A. Q. Ansari, Neutrosophic Modeling and Control, Computer and Communication Technology (2010) 718-723.
  • S.Broumi and F. Smarandache, Intuitionistic Neutrosophic Soft Set, Journal of Information and Computing Science, England, UK, 8(2)(2013) 130-140.
  • S.Broumi, Generalized Neutrosophic Soft Set, International Journal of Computer Science, Engineering and Information Technology, 3(2) (2013) 17-30.
  • S.Broumi, F. Smarandache, Correlation Coefficient of Interval Neutrosophic set, Periodical of Applied Mechanics and Materials, Vol. 436, 2013, with the title
  • Engineering Decisions and Scientific Research in Aerospace, Robotics, Biomechanics, Mechanical Engineering and Manufacturing; Proceedings of the International Conference ICMERA, Bucharest, October 2013.
  • S.Broumi, F. Smarandache, Several Similarity Measures of Neutrosophic Sets, Neutrosophic Sets and Systems, 1, (2013)54-62.
  • S. Broumi, I. Deli, and F. Smarandache, Relations on Interval Valued Neutrosophic Soft Sets, Journal of New Results in Science, 5 (2014) 1-20
  • S. Broumi, F. Smarandache, More on Intuitionistic Neutrosophic Soft Sets, Computer Science and 13189/csit.2013.010404.
  • S.Broumi, I. Deli, F. Smarandache, Neutrosophic Parametrized Soft Set theory and its decision making problem, International Frontier Science Lettre,Vol 1 NO 1,2014,1-11.
  • S.Broumi, M.Dhar and F.Smarandache, Rough neutrosophic sets, (in press). 2013;DOI:
  • I.Deli, and S.Broumi, Neutrosophic soft relations and some properties, Annals of Fuzzy Mathematics and Informatics (AFMI), 2014.(accepted)
  • W. Xu, J. Ma, S. Wang and G. Hao, Vague soft sets and their properties Comput. Math. Appl. 59(2) (2010) 787-794.
  • Y. Jiang, Y. Tang, Q. Chen, H. Liu, and J. Tang, Interval-valued intuitionistic fuzzy soft sets and their properties. Computers and Mathematics with Applications 60, 906–918 (2010).
Toplam 36 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Said Broumi Bu kişi benim

Rıdvan Sahin Bu kişi benim

Florentin Smarandache Bu kişi benim

Yayımlanma Tarihi 1 Temmuz 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 3 Sayı: 7

Kaynak Göster

APA Broumi, S., Sahin, R., & Smarandache, F. (2014). Generalized Interval Neutrosophic Soft Set and its Decision Making Problem. Journal of New Results in Science, 3(7), 29-47.
AMA Broumi S, Sahin R, Smarandache F. Generalized Interval Neutrosophic Soft Set and its Decision Making Problem. JNRS. Temmuz 2014;3(7):29-47.
Chicago Broumi, Said, Rıdvan Sahin, ve Florentin Smarandache. “Generalized Interval Neutrosophic Soft Set and Its Decision Making Problem”. Journal of New Results in Science 3, sy. 7 (Temmuz 2014): 29-47.
EndNote Broumi S, Sahin R, Smarandache F (01 Temmuz 2014) Generalized Interval Neutrosophic Soft Set and its Decision Making Problem. Journal of New Results in Science 3 7 29–47.
IEEE S. Broumi, R. Sahin, ve F. Smarandache, “Generalized Interval Neutrosophic Soft Set and its Decision Making Problem”, JNRS, c. 3, sy. 7, ss. 29–47, 2014.
ISNAD Broumi, Said vd. “Generalized Interval Neutrosophic Soft Set and Its Decision Making Problem”. Journal of New Results in Science 3/7 (Temmuz 2014), 29-47.
JAMA Broumi S, Sahin R, Smarandache F. Generalized Interval Neutrosophic Soft Set and its Decision Making Problem. JNRS. 2014;3:29–47.
MLA Broumi, Said vd. “Generalized Interval Neutrosophic Soft Set and Its Decision Making Problem”. Journal of New Results in Science, c. 3, sy. 7, 2014, ss. 29-47.
Vancouver Broumi S, Sahin R, Smarandache F. Generalized Interval Neutrosophic Soft Set and its Decision Making Problem. JNRS. 2014;3(7):29-47.


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