Volume 6, Issue 1, March 2020, Page: 1-7
Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic
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
Received: Apr. 1, 2020;       Accepted: Apr. 28, 2020;       Published: Jun. 9, 2020
DOI: 10.11648/j.ijmfs.20200601.11      View  187      Downloads  45
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.
Keywords
Fuzzy Number, Arithmetic Fuzzy Numbers, Hexagonal Fuzzy Numbers
To cite this article
Susmitha Harun, Mashadi Mashadi, Sri Gemawati, Alternative Determines Positivity of Hexagonal Fuzzy Numbers and Their Alternative Arithmetic, International Journal of Management and Fuzzy Systems. Vol. 6, No. 1, 2020, pp. 1-7. doi: 10.11648/j.ijmfs.20200601.11
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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