International Journal of Computational Intelligence Systems

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Volume 11, Issue 1, 2018, Pages 991 - 1004

Fuzzy Semi-Numbers and Their Elementary Arithmetic With a Medical Case Study

Authors
Sh. Yeganehmanesh1, shahab.yeganehmanesh@gmail.com, M. Amirfakhrian1, *, amirfakhrian@iauctb.ac.ir, P. Grzegorzewski2, 3, pgrzeg@ibspan.waw.pl
1Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.
2Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland.
3Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662, Warsaw, Poland.
*Corresponding author.
Corresponding Author
Received 30 July 2017, Accepted 17 April 2018, Available Online 2 May 2018.
DOI
10.2991/ijcis.11.1.75How to use a DOI?
Keywords
Fuzzy Number; Fuzzy Arithmetic; Fuzzy Semi-Number; Elevated Fuzzy Semi-Number
Abstract

A new methodology for processing non-normal fuzzy sets is proposed. To break the predominant constraint on normality of fuzzy numbers the concept of fuzzy semi-numbers is introduced Then it is shown how to generalize operations defined on fuzzy numbers onto a family of fuzzy semi-numbers with possibly different heights.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
11 - 1
Pages
991 - 1004
Publication Date
2018/05/02
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.11.1.75How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Sh. Yeganehmanesh
AU  - M. Amirfakhrian
AU  - P. Grzegorzewski
PY  - 2018
DA  - 2018/05/02
TI  - Fuzzy Semi-Numbers and Their Elementary Arithmetic With a Medical Case Study
JO  - International Journal of Computational Intelligence Systems
SP  - 991
EP  - 1004
VL  - 11
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.11.1.75
DO  - 10.2991/ijcis.11.1.75
ID  - Yeganehmanesh2018
ER  -