본문 바로가기
KERD
논문KCI 등재

Interval-valued neutrosophic competition graphs

Muhammad Akram|Maryam Nasir
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2017.07|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제14권 제1호|pp. 99-120|DOI 10.30948/afmi.2017.14.1.99

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Interval-valued neutrosophic digraphsInterval-valued neutrosophic competition graphs

초록

We first introduce the concept of interval-valued neutro- sophic competition graphs. We then discuss certain types, including k- competition interval-valued neutrosophic graphs, p-competition interval- valued neutrosophic graphs and m-step interval-valued neutrosophic com- petition graphs. Moreover, we present the concept of m-step interval- valued neutrosophic neighbourhood graphs.

Abstract

We first introduce the concept of interval-valued neutro- sophic competition graphs. We then discuss certain types, including k- competition interval-valued neutrosophic graphs, p-competition interval- valued neutrosophic graphs and m-step interval-valued neutrosophic com- petition graphs. Moreover, we present the concept of m-step interval- valued neutrosophic neighbourhood graphs.

참고문헌 (36)

  1. M. Akram, "Interval-valued fuzzy graphs", Computers & Mathematics with Applications, 61, pp.289~299 (2011)
  2. M. Akram, "Interval-valued fuzzy line graphs", Neural Computing & Applications, 21, pp.145~150 (2012)
  3. M. Akram, "Certain types of interval-valued fuzzy graphs", Journal of Applied Mathematics Volume, pp.11~ (2013)
  4. M. Akram, "Self centered interval-valued fuzzy graphs", Afrika Matematika, 26(5-6), pp.887~898 (2015)
  5. M. Akram, "Concepts of interval-valued neutrosophic graphs", International Journal of Algebra and Statistics, 6(1-2) (2017)[DOI]
  6. M. Akram, "Neutrosophic soft graphs with application", Journal of Intelligent & Fuzzy Systems, 32(1), pp.841~858 (2017)
  7. M. Akram, "Single-valued neutrosophic planar graphs", International Journal of Algebra and Statistics, 5(2), pp.157~167 (2016)
  8. M. Akram, "Operations on single-valued neutrosophic graphs", Journal of Uncertain System, 11(3), pp.1~26 (2017)
  9. M. Akram, "Novel applications of single-valued neutrosophic graph structures in decision making", Journal of Applied Mathematics and Computing (2016)[DOI]
  10. M. Akram, "Representation of labeling tree based on m-polar fuzzy sets", Ann. Fuzzy Math. Inform, 13(2), pp.189~197 (2017)
  11. N. O. Al-Shehrie, "Bipolar fuzzy competition graphs", Ars Combinatoria, 121, pp.385~402 (2015)
  12. K. T. Atanassov, "Intuitionistic fuzzy sets", Fuzzy sets and Systems, 20, pp.87~96 (1986)
  13. P. Bhattacharya, "Some remark on fuzzy graphs", Pattern Recognition Letters, 6, pp.297~302 (1987)
  14. S. Broumi, "Single-valued neutrosophic graphs", Journal of New Theory, 10, pp.86~101 (2016)
  15. T. Dinesh, "A study on graph structures, incidence algebras and their fuzzy analogues", Ph.D., pp.2011
  16. J. Hongmei, "Interval-valued fuzzy subsemigroups and subgroups sssociated by interval-valued fuzzy graphs", 2009 WRI Global Congress on Intelligent Systems, pp.484~487 (2009)
  17. M. G. Karunambigai, "Degrees in intuitionistic fuzzy graphs", Ann. Fuzzy Math. Inform, 13(3), pp.345~357 (2017)
  18. A. Kauffman, "Introduction a la theorie des sousemsembles flous" (1973), Masson et cie Paris
  19. J. M. Mendel, "Uncertain rule-based fuzzy logic systems: Introduction and new directions" (2001), Prentice-Hall
  20. J. N. Mordeson, "Operations on fuzzy graphs", Inform. Sci, 79, pp.159~170 (1994)
  21. M. Nasir, "Novel properties of intuitionistic fuzzy competition graphs", Journal of Uncertain Systems, 2(1), pp.49~67 (2017)
  22. A. Rosenfeld, "Fuzzy graphs, Fuzzy Sets and their Application", pp.77~95 (1975), Academic press
  23. S. Samanta, "Fuzzy k-competition graphs and p-competition fuzzy graphs", Fuzzy Information and Engineering, 5, pp.191~204 (2013)
  24. S. Samanta, "m-step fuzzy competition graphs", Journal of Applied Mathematics and Computing, 47, pp.461~472 (2015)
  25. Musavarah Sarwar, "Novel concepts of bipolar fuzzy competition graphs", Journal of Applied Mathematics and Computing, 54(1-2), pp.511~547 (2017), Springer Nature[DOI]
  26. F. Smarandache, "A unifying field in logics. neutrosophy: neutrosophic probability, set and logic" (1999), American Research Press
  27. F. Smarandache, "Neutrosophic set- a generalization of the intuitionistic fuzzy set, Granular Computing", 2006 IEEE International Conference (2006)
  28. F. Smarandache, "Neutrosophy. Neutrosophic Probability, Set, and Logic" (1998), ProQuest Information & Learning
  29. H. Wang, "Single-valued neutrosophic sets", Multisspace and Multistruct, 4, pp.410~413 (2010)
  30. H. Wang, "Truth-value based interval neutrosophic sets, Granu-lar Computing", 2005 IEEE International Conference, 1 (2005)
  31. H. Wang, "An Interval neutrosophic sets and logic: theory and applications in computing" (2005), Hexis Arizona
  32. S. Y. Wu, "The compositions of fuzzy digraphs", Journal of Research in Education Science, 31, pp.603~628 (1986)
  33. J. Ye, "Single-valued neutrosophic minimum spanning tree and its clustering method", Journal of Intelligent Systems, 23(3), pp.311~324 (2014)
  34. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)
  35. L. A. Zadeh, "The concept of a linguistic and its application to approximate reasoning I", Inform. Sci, 8, pp.199~249 (1975)
  36. L. A. Zadeh, "Similarity relations and fuzzy orderings", Inform. Sci, 3, pp.177~200 (1971)

관련 논문AI추천

Interval-valued bipolar fuzzy graphs채갑병, J. I. Baek, K.Hur, M. Cheong, S. H. Han기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2025 · 제30권 제3호Special types of bipolar single valued neutrosophic graphsAli Hassan, Assia Bakali, F. Smarandache, Mohamed Talea, Muhammad Aslam Malik, Said Broumi기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제1호A study on intuitionistic fuzzy graphs of second typeSheik Dhavudh S, Srinivasan R기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제6호Degrees in intuitionistic fuzzy graphsM.G. Karunambigai, R. Buvaneswari기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제3호Level graphs of intuitionistic fuzzy graphsMuhammad Akram기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제16권 제1호Application of intuitionistic neutrosophic graph structures in decision-makingMuhammad Akram, Muzzamal Sitara기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제1호

이 간행물의 다른 논문 (6건)

Application of intuitionistic neutrosophic graph structures in decision-makingMuhammad Akram, Muzzamal Sitarapp. 1-27Neutrosophic quadruple algebraic hyperstructuresF. Smarandache, A. A. A. Agboola,, B. Davvazpp. 29-42The category of neutrosophic crisp setsK.Hur, P.K.LIM, 이정곤, 김준희pp. 43-54Special types of bipolar single valued neutrosophic graphsAssia Bakali, F. Smarandache, Ali Hassan, Muhammad Aslam Malik, Said Broumi, Mohamed Taleapp. 55-73Neutrosophic subalgebras of several types in $BCK/BCI$-algebras정영배pp. 75-86
원문 보기