대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제21권3호
  • /
  • Pages.587-593
  • /
  • 2006
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

INTUITIONISTIC FUZZY SUBSEMIGROUPS AND SUBGROUPS ASSOCIATED BY INTUITIONISTIC FUZZY GRAPHS

  • Jun, Young-Bae (Department of Mathematics Education(and RINS) Gyeongsang National University)
  • 발행 : 2006.07.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The notion of intuitionistic fuzzy graphs is introduced. We show how to associate an intuitionistic fuzzy sub(semi)group with an intuitionistic fuzzy graph in a natural way.

키워드

참고문헌

  1. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96 https://doi.org/10.1016/S0165-0114(86)80034-3
  2. K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61 (1994), 137-142 https://doi.org/10.1016/0165-0114(94)90229-1
  3. K. T. Atanassov, Intuitionistic fuzzy sets. Theory and applications, Studies in Fuzziness and Soft Computing, 35. Heidelberg; Physica-Verlag 1999
  4. K. R. Bhutani and A. Rosenfeld, Strong arcs in fuzzy graphs, Inform. Sci. 152 (2003), 319-32 https://doi.org/10.1016/S0020-0255(02)00411-5
  5. K. R. Bhutani and A. Rosenfeld, Fuzzy end nodes in fuzzy graphs, Inform. Sci. 152 (2003), 323-326 https://doi.org/10.1016/S0020-0255(03)00078-1
  6. M. Blue, B. Bush and J. Puckett, Unified approach to fuzzy graph problems, Fuzzy Sets and Systems 125 (2002), 355-368 https://doi.org/10.1016/S0165-0114(01)00011-2
  7. P. Burillo and H. Bustince, Vague sets are intuitionistic fuzzy sets, Fuzzy Sets and Systems 79 (1996), 403-405 https://doi.org/10.1016/0165-0114(95)00154-9
  8. H. Bustince and P. Burillo, Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems 78 (1996), 293-303 https://doi.org/10.1016/0165-0114(96)84610-0
  9. S. K. De, R. Biswas and A. R. Roy, An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems 117 (2001), 209-213 https://doi.org/10.1016/S0165-0114(98)00235-8
  10. L. Dengfeng and C. Chuntian, New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions, Pattern Recognition Letters 23 (2002), 221-225 https://doi.org/10.1016/S0167-8655(01)00110-6
  11. W. L. Gau and D. J. Buehrer, Vague sets, IEEE Trans. Systems Man Cybernet 23 (1993), 610-614 https://doi.org/10.1109/21.229476
  12. K. H. Kim and Y. B. Jun, Intuitionistic fuzzy ideals of semigroups, Indian J. Pure Appl. Math. 33 (2002), no. 4, 443-449
  13. J. N. Mordeson, Fuzzy line graphs, Pattern Recognition Letters 14 (1993), 381-384 https://doi.org/10.1016/0167-8655(93)90115-T
  14. J. N. Mordeson and P. S. Nair, Cycles and cocyles of fuzzy graphs, Inform. Sci. 90 (1996), 39-49 https://doi.org/10.1016/0020-0255(95)00238-3
  15. J. N. Mordeson and P. S. Nair, Successor and source of (fuzzy) finite state machines and (fuzzy) directed graphs, Inform. Sci. 95 (1996), 113-124 https://doi.org/10.1016/S0020-0255(96)00139-9
  16. J. N. Mordeson and C. S. Peng, Operations on fuzzy graphs, Inform. Sci. 79 (1994), 159-170 https://doi.org/10.1016/0020-0255(94)90116-3
  17. A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512-517 https://doi.org/10.1016/0022-247X(71)90199-5
  18. E. Szmidt and J. Kacprzyk, Entropy for intuitionistic fuzzy sets, Fuzzy Sets and Systems 118 (2001), 467-477 https://doi.org/10.1016/S0165-0114(98)00402-3
  19. L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353 https://doi.org/10.1016/S0019-9958(65)90241-X

피인용 문헌

  1. Connections between interval valued fuzzy graphs and fuzzy groups with (S,T)-norms vol.12, pp.5, 2009, https://doi.org/10.1080/09720529.2009.10698253
  2. New Concepts of Fuzzy Labeling Graphs 2017, https://doi.org/10.1007/s40819-017-0348-y
  3. Degree and total degree of edges in bipolar fuzzy graphs with application vol.30, pp.6, 2016, https://doi.org/10.3233/IFS-152075
  4. Some properties of vague graphs with application vol.30, pp.6, 2016, https://doi.org/10.3233/IFS-162089
  5. Vague graphs with application vol.30, pp.6, 2016, https://doi.org/10.3233/IFS-152077
  6. Isomorphic properties of neighborly irregular vague graphs vol.30, pp.6, 2016, https://doi.org/10.3233/IFS-152074