Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers

Khaista Rahman; Saleem Abdullah; Asad Ali; Fazli Amin

doi:doi:10.11648/j.ml.20170304.11

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Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers

Khaista Rahman, Saleem Abdullah, Asad Ali, Fazli Amin

Published in Mathematics Letters (Volume 3, Issue 4)

Received: 29 May 2017 Accepted: 10 August 2017 Published: 6 September 2017

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Abstract

In this paper we present two new types aggregation operators such as, induced Pythagorean fuzzy ordered weighted averaging aggregation operator and induced Pythagorean fuzzy hybrid averaging aggregation operator. We also discuss of important properties of these proposed operators and construct some examples to develop these operators.

Published in	Mathematics Letters (Volume 3, Issue 4)
DOI	10.11648/j.ml.20170304.11
Page(s)	40-45
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Pythagorean Fuzzy Sets, I-PFOWA Operator, I-PFHA Operator

References

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[13]	Z. S. Xu, Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst, (2007), 1179- 1187.
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[15]	W. Wang and X. Liu, Intuitionistic Fuzzy Geometric Aggregation Operators Based on Einstein Operations, international journal of intelligent systems, (2011), 1049-1075.
[16]	Weize Wang, Xinwang Liu, Intuitionistic Fuzzy Information Aggregation Using Einstein Operations, IEEE Trans. Fuzzy Systems, (2012) 923-938.
[17]	X. Zhao and G. Wei, Some intuitionistic fuzzy Einstein hybrid aggregation operators And their application to multiple attribute decision making, Knowledge-Based Systems, (2013). 472-479.
[18]	R. R. Yager, Pythagorean fuzzy subsets, In Proc. Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada (2013), 57-61.
[19]	R. R. Yager, A. M. Abbasov, Pythagorean membership grades, complex numbers and decision making. Int J Intell Syst (2013), 28:436.452.
[20]	K. Rahman, S. Abdullah, M. S. Ali Khan, A. Ali and F. Amin, Pythagorean fuzzy hybrid averaging aggregation operator and its application to multiple attribute decision making. Accepted.
[21]	K. Rahman, M. S. Ali. Khan, Murad Ullah and A. Fahmi, Multiple attribute group decision making for plant location selection with Pythagorean fuzzy weighted geometric aggregation operator, The Nucleus (2017), 54, 66-74.
[22]	K. Rahman, S. Abdullah, F. Husain M. S. Ali Khan, M. Shakeel, Pythagorean fuzzy ordered weighted geometric aggregation operator and their application to multiple attribute group decision making, J. Appl. Environ. Biol. Sci., (2017), 7(4) 67-83.
[23]	K. Rahman, S. Abdullah, M. S. Ali Khan and M. Shakeel, Pythagorean fuzzy hybrid geometric aggregation operator and their applications to multiple attribute decision making, International Journal of Computer Science and Information Security (IJCSIS), (2016), 14, No. 6, 837-854.
[24]	H. Garg, A new generalized Pythagorean fuzzy information aggregation using Einstein operations and its application to decision making, international journal of intelligent systems, (2016), 1-35.

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APA Style

Khaista Rahman, Saleem Abdullah, Asad Ali, Fazli Amin. (2017). Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers. Mathematics Letters, 3(4), 40-45. https://doi.org/10.11648/j.ml.20170304.11

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ACS Style

Khaista Rahman; Saleem Abdullah; Asad Ali; Fazli Amin. Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers. Math. Lett. 2017, 3(4), 40-45. doi: 10.11648/j.ml.20170304.11

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AMA Style

Khaista Rahman, Saleem Abdullah, Asad Ali, Fazli Amin. Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers. Math Lett. 2017;3(4):40-45. doi: 10.11648/j.ml.20170304.11

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@article{10.11648/j.ml.20170304.11,
  author = {Khaista Rahman and Saleem Abdullah and Asad Ali and Fazli Amin},
  title = {Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers},
  journal = {Mathematics Letters},
  volume = {3},
  number = {4},
  pages = {40-45},
  doi = {10.11648/j.ml.20170304.11},
  url = {https://doi.org/10.11648/j.ml.20170304.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20170304.11},
  abstract = {In this paper we present two new types aggregation operators such as, induced Pythagorean fuzzy ordered weighted averaging aggregation operator and induced Pythagorean fuzzy hybrid averaging aggregation operator. We also discuss of important properties of these proposed operators and construct some examples to develop these operators.},
 year = {2017}
}

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TY  - JOUR
T1  - Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers
AU  - Khaista Rahman
AU  - Saleem Abdullah
AU  - Asad Ali
AU  - Fazli Amin
Y1  - 2017/09/06
PY  - 2017
N1  - https://doi.org/10.11648/j.ml.20170304.11
DO  - 10.11648/j.ml.20170304.11
T2  - Mathematics Letters
JF  - Mathematics Letters
JO  - Mathematics Letters
SP  - 40
EP  - 45
PB  - Science Publishing Group
SN  - 2575-5056
UR  - https://doi.org/10.11648/j.ml.20170304.11
AB  - In this paper we present two new types aggregation operators such as, induced Pythagorean fuzzy ordered weighted averaging aggregation operator and induced Pythagorean fuzzy hybrid averaging aggregation operator. We also discuss of important properties of these proposed operators and construct some examples to develop these operators.
VL  - 3
IS  - 4
ER  -

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Author Information

Khaista Rahman

Department of Mathematics, Hazara University, Mansehra, Pakistan
Saleem Abdullah

Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan
Asad Ali

Department of Mathematics, Hazara University, Mansehra, Pakistan
Fazli Amin

Department of Mathematics, Hazara University, Mansehra, Pakistan

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APA Style

Khaista Rahman, Saleem Abdullah, Asad Ali, Fazli Amin. (2017). Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers. Mathematics Letters, 3(4), 40-45. https://doi.org/10.11648/j.ml.20170304.11

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ACS Style

Khaista Rahman; Saleem Abdullah; Asad Ali; Fazli Amin. Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers. Math. Lett. 2017, 3(4), 40-45. doi: 10.11648/j.ml.20170304.11

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AMA Style

Khaista Rahman, Saleem Abdullah, Asad Ali, Fazli Amin. Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers. Math Lett. 2017;3(4):40-45. doi: 10.11648/j.ml.20170304.11

Copy | Download

@article{10.11648/j.ml.20170304.11,
  author = {Khaista Rahman and Saleem Abdullah and Asad Ali and Fazli Amin},
  title = {Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers},
  journal = {Mathematics Letters},
  volume = {3},
  number = {4},
  pages = {40-45},
  doi = {10.11648/j.ml.20170304.11},
  url = {https://doi.org/10.11648/j.ml.20170304.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20170304.11},
  abstract = {In this paper we present two new types aggregation operators such as, induced Pythagorean fuzzy ordered weighted averaging aggregation operator and induced Pythagorean fuzzy hybrid averaging aggregation operator. We also discuss of important properties of these proposed operators and construct some examples to develop these operators.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers
AU  - Khaista Rahman
AU  - Saleem Abdullah
AU  - Asad Ali
AU  - Fazli Amin
Y1  - 2017/09/06
PY  - 2017
N1  - https://doi.org/10.11648/j.ml.20170304.11
DO  - 10.11648/j.ml.20170304.11
T2  - Mathematics Letters
JF  - Mathematics Letters
JO  - Mathematics Letters
SP  - 40
EP  - 45
PB  - Science Publishing Group
SN  - 2575-5056
UR  - https://doi.org/10.11648/j.ml.20170304.11
AB  - In this paper we present two new types aggregation operators such as, induced Pythagorean fuzzy ordered weighted averaging aggregation operator and induced Pythagorean fuzzy hybrid averaging aggregation operator. We also discuss of important properties of these proposed operators and construct some examples to develop these operators.
VL  - 3
IS  - 4
ER  -

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