Research Article

Novel Concept of Cubic Picture Fuzzy Sets

Number: 24 August 14, 2018
EN

Novel Concept of Cubic Picture Fuzzy Sets

Abstract

As a new extension of a cubic set, the notion of a cubic picture fuzzy set is introduced. The propose work is separated into two portions. Firstly, establish the concept of cubic picture fuzzy set and explore associated properties. Secondly, establish internal (external) cubic picture fuzzy sets and define P-order and R-order union and intersection. Deliver some examples to support of established P-order and R-order union and intersection of internal (external) cubic picture fuzzy sets.

Keywords

References

  1. [1] S. Ashraf, T. Mahmood, S. Abdullah and Q. Khan, Different Approaches to Multi-Criteria Group Decision Making Problems for Picture Fuzzy Environment, Bulletin of the Brazilian Mathematical Society, New Series, 2018. https://doi.org/10.1007/s00574-018-0103 -y.
  2. [2] S. Ashraf, T. Mahmood and Q. Khan, Picture Fuzzy Linguistic Sets and Their Applications for Multi-Attribute Group Decision Making Problems, The Nucleus 55(2), 66-73, 2018.
  3. [3] K. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(2), 137-142, 1994.
  4. [4] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96, 1986.
  5. [5] K. Atanassov, G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31, 343-349, 1989.
  6. [6] K. Atanassov, Remark on intuitionistic fuzzy numbers, Notes on intuitionistic fuzzy sets, 13, 29-32, 2007.
  7. [7] B. C. Cuong, V. H. Phan, some fuzzy logic operations for picture fuzzy sets, In preceding of seventh international conference on knowledge and system engineering (IEEE), 2015.
  8. [8] B. C. Cuong, T. N. Roan, A classification of representable t-norm operators for picture fuzzy sets, In preceding of eight international conference on knowledge and system engineering (IEEE), 2016.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Saleem Abdullah This is me

Abbas Qadir This is me

Publication Date

August 14, 2018

Submission Date

July 9, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 24

APA
Ashraf, S., Abdullah, S., & Qadir, A. (2018). Novel Concept of Cubic Picture Fuzzy Sets. Journal of New Theory, 24, 59-72. https://izlik.org/JA59WW94RB
AMA
1.Ashraf S, Abdullah S, Qadir A. Novel Concept of Cubic Picture Fuzzy Sets. JNT. 2018;(24):59-72. https://izlik.org/JA59WW94RB
Chicago
Ashraf, Shahzaib, Saleem Abdullah, and Abbas Qadir. 2018. “Novel Concept of Cubic Picture Fuzzy Sets”. Journal of New Theory, nos. 24: 59-72. https://izlik.org/JA59WW94RB.
EndNote
Ashraf S, Abdullah S, Qadir A (August 1, 2018) Novel Concept of Cubic Picture Fuzzy Sets. Journal of New Theory 24 59–72.
IEEE
[1]S. Ashraf, S. Abdullah, and A. Qadir, “Novel Concept of Cubic Picture Fuzzy Sets”, JNT, no. 24, pp. 59–72, Aug. 2018, [Online]. Available: https://izlik.org/JA59WW94RB
ISNAD
Ashraf, Shahzaib - Abdullah, Saleem - Qadir, Abbas. “Novel Concept of Cubic Picture Fuzzy Sets”. Journal of New Theory. 24 (August 1, 2018): 59-72. https://izlik.org/JA59WW94RB.
JAMA
1.Ashraf S, Abdullah S, Qadir A. Novel Concept of Cubic Picture Fuzzy Sets. JNT. 2018;:59–72.
MLA
Ashraf, Shahzaib, et al. “Novel Concept of Cubic Picture Fuzzy Sets”. Journal of New Theory, no. 24, Aug. 2018, pp. 59-72, https://izlik.org/JA59WW94RB.
Vancouver
1.Shahzaib Ashraf, Saleem Abdullah, Abbas Qadir. Novel Concept of Cubic Picture Fuzzy Sets. JNT [Internet]. 2018 Aug. 1;(24):59-72. Available from: https://izlik.org/JA59WW94RB

 

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