Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic

Susmitha Harun; Mashadi Mashadi; Sri Gemawati

doi:doi:10.11648/j.ijmfs.20200601.11

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Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic

Susmitha Harun, Mashadi Mashadi, Sri Gemawati

Published in International Journal of Management and Fuzzy Systems (Volume 6, Issue 1)

Received: 1 April 2020 Accepted: 28 April 2020 Published: 9 June 2020

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Abstract

There are quite a lot of arithmetic operations for hexagonal fuzzy numbers, most of them only define positive fuzzy numbers and few are discussing negative fuzzy numbers. And rarely found inverse of a fuzzy hexagonal number. So, often the results obtained in a hexagonal fuzzy linear equation system are not compatible. In this paper, we will discuss arithmetic alternatives on fuzzy hexagonal numbers. In this paper will definitions of positive and negative fuzzy numbers based on the concept of wide area covered by hexagonal fuzzy numbers in quadrant I and in quadrant II (right and left segments called r). From the concept of positivity and negativity the hexagonal fuzzy numbers will be constructed arithmetic alternatives for hexagonal fuzzy numbers. At the final part be given an inverse for a hexagonal fuzzy number so that, so for any fuzzy number there is an inverse hexagonal fuzzy number and its multiplication produces an identity.

Published in	International Journal of Management and Fuzzy Systems (Volume 6, Issue 1)
DOI	10.11648/j.ijmfs.20200601.11
Page(s)	1-7
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), 2024. Published by Science Publishing Group

Keywords

Fuzzy Number, Arithmetic Fuzzy Numbers, Hexagonal Fuzzy Numbers

References

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[5]	D. R. A. Sari dan Mashadi, New arithmetic triangular fuzzy number for solving fully fuzzy linear system using inverse matrix, IJSBAR, (2019), 169-180.
[6]	Z. Desmita dan Mashadi, Alternative multiplying triangular fuzzy number and applied in fully fuzzy linear system, American Scrientific Research Journal for Engineering, Technology, and Sciences, 56 (2019), 113-123.
[7]	S. I. Marni, Mashadi, dan S. Gemawati, Solving dual fully fuzzy linier system by use factorizations of the coefficient matrix for trapezoidal fuzzy number, Bulletin of Mathematics, 2 (2018), 145-56.
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APA Style

Susmitha Harun, Mashadi Mashadi, Sri Gemawati. (2020). Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic. International Journal of Management and Fuzzy Systems, 6(1), 1-7. https://doi.org/10.11648/j.ijmfs.20200601.11

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ACS Style

Susmitha Harun; Mashadi Mashadi; Sri Gemawati. Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic. Int. J. Manag. Fuzzy Syst. 2020, 6(1), 1-7. doi: 10.11648/j.ijmfs.20200601.11

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AMA Style

Susmitha Harun, Mashadi Mashadi, Sri Gemawati. Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic. Int J Manag Fuzzy Syst. 2020;6(1):1-7. doi: 10.11648/j.ijmfs.20200601.11

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@article{10.11648/j.ijmfs.20200601.11,
  author = {Susmitha Harun and Mashadi Mashadi and Sri Gemawati},
  title = {Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic},
  journal = {International Journal of Management and Fuzzy Systems},
  volume = {6},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ijmfs.20200601.11},
  url = {https://doi.org/10.11648/j.ijmfs.20200601.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmfs.20200601.11},
  abstract = {There are quite a lot of arithmetic operations for hexagonal fuzzy numbers, most of them only define positive fuzzy numbers and few are discussing negative fuzzy numbers. And rarely found inverse of a fuzzy hexagonal number. So,  often the results obtained in a hexagonal fuzzy linear equation system are not compatible. In this paper, we will discuss arithmetic alternatives on fuzzy hexagonal numbers.  In this paper will definitions of positive and negative fuzzy numbers based on the concept of wide area covered by hexagonal fuzzy numbers in quadrant I and in quadrant II (right and left segments called r). From the concept of positivity and negativity the hexagonal fuzzy numbers will be constructed arithmetic alternatives for hexagonal fuzzy numbers. At the final part be given an inverse for a hexagonal fuzzy number so that, so for any fuzzy number there is an inverse hexagonal fuzzy number and its multiplication produces an identity.},
 year = {2020}
}

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TY  - JOUR
T1  - Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic
AU  - Susmitha Harun
AU  - Mashadi Mashadi
AU  - Sri Gemawati
Y1  - 2020/06/09
PY  - 2020
N1  - https://doi.org/10.11648/j.ijmfs.20200601.11
DO  - 10.11648/j.ijmfs.20200601.11
T2  - International Journal of Management and Fuzzy Systems
JF  - International Journal of Management and Fuzzy Systems
JO  - International Journal of Management and Fuzzy Systems
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2575-4947
UR  - https://doi.org/10.11648/j.ijmfs.20200601.11
AB  - There are quite a lot of arithmetic operations for hexagonal fuzzy numbers, most of them only define positive fuzzy numbers and few are discussing negative fuzzy numbers. And rarely found inverse of a fuzzy hexagonal number. So,  often the results obtained in a hexagonal fuzzy linear equation system are not compatible. In this paper, we will discuss arithmetic alternatives on fuzzy hexagonal numbers.  In this paper will definitions of positive and negative fuzzy numbers based on the concept of wide area covered by hexagonal fuzzy numbers in quadrant I and in quadrant II (right and left segments called r). From the concept of positivity and negativity the hexagonal fuzzy numbers will be constructed arithmetic alternatives for hexagonal fuzzy numbers. At the final part be given an inverse for a hexagonal fuzzy number so that, so for any fuzzy number there is an inverse hexagonal fuzzy number and its multiplication produces an identity.
VL  - 6
IS  - 1
ER  -

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Author Information

Susmitha Harun

Department of Mathematics, University of Riau, Pekanbaru, Indonesia
Mashadi Mashadi

Department of Mathematics, University of Riau, Pekanbaru, Indonesia
Sri Gemawati

Department of Mathematics, University of Riau, Pekanbaru, Indonesia

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Plain Text BibTeX RIS

APA Style

Susmitha Harun, Mashadi Mashadi, Sri Gemawati. (2020). Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic. International Journal of Management and Fuzzy Systems, 6(1), 1-7. https://doi.org/10.11648/j.ijmfs.20200601.11

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ACS Style

Susmitha Harun; Mashadi Mashadi; Sri Gemawati. Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic. Int. J. Manag. Fuzzy Syst. 2020, 6(1), 1-7. doi: 10.11648/j.ijmfs.20200601.11

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AMA Style

Susmitha Harun, Mashadi Mashadi, Sri Gemawati. Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic. Int J Manag Fuzzy Syst. 2020;6(1):1-7. doi: 10.11648/j.ijmfs.20200601.11

Copy | Download

@article{10.11648/j.ijmfs.20200601.11,
  author = {Susmitha Harun and Mashadi Mashadi and Sri Gemawati},
  title = {Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic},
  journal = {International Journal of Management and Fuzzy Systems},
  volume = {6},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ijmfs.20200601.11},
  url = {https://doi.org/10.11648/j.ijmfs.20200601.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmfs.20200601.11},
  abstract = {There are quite a lot of arithmetic operations for hexagonal fuzzy numbers, most of them only define positive fuzzy numbers and few are discussing negative fuzzy numbers. And rarely found inverse of a fuzzy hexagonal number. So,  often the results obtained in a hexagonal fuzzy linear equation system are not compatible. In this paper, we will discuss arithmetic alternatives on fuzzy hexagonal numbers.  In this paper will definitions of positive and negative fuzzy numbers based on the concept of wide area covered by hexagonal fuzzy numbers in quadrant I and in quadrant II (right and left segments called r). From the concept of positivity and negativity the hexagonal fuzzy numbers will be constructed arithmetic alternatives for hexagonal fuzzy numbers. At the final part be given an inverse for a hexagonal fuzzy number so that, so for any fuzzy number there is an inverse hexagonal fuzzy number and its multiplication produces an identity.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic
AU  - Susmitha Harun
AU  - Mashadi Mashadi
AU  - Sri Gemawati
Y1  - 2020/06/09
PY  - 2020
N1  - https://doi.org/10.11648/j.ijmfs.20200601.11
DO  - 10.11648/j.ijmfs.20200601.11
T2  - International Journal of Management and Fuzzy Systems
JF  - International Journal of Management and Fuzzy Systems
JO  - International Journal of Management and Fuzzy Systems
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2575-4947
UR  - https://doi.org/10.11648/j.ijmfs.20200601.11
AB  - There are quite a lot of arithmetic operations for hexagonal fuzzy numbers, most of them only define positive fuzzy numbers and few are discussing negative fuzzy numbers. And rarely found inverse of a fuzzy hexagonal number. So,  often the results obtained in a hexagonal fuzzy linear equation system are not compatible. In this paper, we will discuss arithmetic alternatives on fuzzy hexagonal numbers.  In this paper will definitions of positive and negative fuzzy numbers based on the concept of wide area covered by hexagonal fuzzy numbers in quadrant I and in quadrant II (right and left segments called r). From the concept of positivity and negativity the hexagonal fuzzy numbers will be constructed arithmetic alternatives for hexagonal fuzzy numbers. At the final part be given an inverse for a hexagonal fuzzy number so that, so for any fuzzy number there is an inverse hexagonal fuzzy number and its multiplication produces an identity.
VL  - 6
IS  - 1
ER  -

Copy | Download