PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE

Volume: 9 Number: 2 June 1, 2019
  • S. Mandal
  • M. Pal
EN

PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE

Abstract

In this paper, bipolar intuitionistic fuzzy graphs with four operations namely Cartesian product, composition, tensor product, normal product are de ned. Also, the degrees of the vertices of the resultant graphs which are obtained from two given bipolar intuitionistic fuzzy graphs G1 and G2 using the operations Cartesian product, composi- tion, tensor product, normal product are determined.

Keywords

References

  1. [1] Atanassov K.T., (1999). Intuitionistic fuzzy sets. Theory and Applications, studies in fuzziness and soft Computing, physica-verl., Heidelberg, New York
  2. [2] Akram M., (2011). Bipolar fuzzy graphs. Information Sciences 181: 5548–5564.
  3. [3] Akram M. and Davvaz B., (2012). Strong intuitionistic fuzzy graphs. Filomat 26(1): 177–196.
  4. [4] Al-Shehrie N. O., Akram M., (2015). Bipolar fuzzy competition graphs. Ars Combinatoria 121: 385– 402.
  5. [5] Atanassov K. T., (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20: 87–96.
  6. [6] Hai-Long Yang et al.(2013). Notes on “Bipolar fuzzy graphs”. Information Sciences 242: 113–121.
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  8. [8] Mordeson J.N., Peng C. S., (1994). Operation on fuzzy graphs. Information Sciences 79: 159–170.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

S. Mandal This is me

Publication Date

June 1, 2019

Submission Date

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Acceptance Date

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Published in Issue

Year 2019 Volume: 9 Number: 2

APA
Mandal, S., & Pal, M. (2019). PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE. TWMS Journal of Applied and Engineering Mathematics, 9(2), 327-338. https://izlik.org/JA72DP88BX
AMA
1.Mandal S, Pal M. PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE. JAEM. 2019;9(2):327-338. https://izlik.org/JA72DP88BX
Chicago
Mandal, S., and M. Pal. 2019. “PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE”. TWMS Journal of Applied and Engineering Mathematics 9 (2): 327-38. https://izlik.org/JA72DP88BX.
EndNote
Mandal S, Pal M (June 1, 2019) PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE. TWMS Journal of Applied and Engineering Mathematics 9 2 327–338.
IEEE
[1]S. Mandal and M. Pal, “PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE”, JAEM, vol. 9, no. 2, pp. 327–338, June 2019, [Online]. Available: https://izlik.org/JA72DP88BX
ISNAD
Mandal, S. - Pal, M. “PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE”. TWMS Journal of Applied and Engineering Mathematics 9/2 (June 1, 2019): 327-338. https://izlik.org/JA72DP88BX.
JAMA
1.Mandal S, Pal M. PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE. JAEM. 2019;9:327–338.
MLA
Mandal, S., and M. Pal. “PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 2, June 2019, pp. 327-38, https://izlik.org/JA72DP88BX.
Vancouver
1.S. Mandal, M. Pal. PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE. JAEM [Internet]. 2019 Jun. 1;9(2):327-38. Available from: https://izlik.org/JA72DP88BX