Basic fuzzy arithmetic operations using α–cut for the gaussian membership function
Currently fuzzy set theory has a wide range to model real life problems with incomplete or vague information which perfectly suits the reality and its application is theatrically increasing. This work explored the basic fuzzy operations with the Gaussian Membership using the α-cut method. As it is k...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Ayandegan Institute of Higher Education,
2022-10-01
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| Series: | Journal of Fuzzy Extension and Applications |
| Subjects: | |
| Online Access: | https://www.journal-fea.com/article_153240_a2bc1da93313daeeb25f92936855cc77.pdf |
| _version_ | 1827216953815597056 |
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| author | Leonce Leandry Innocent Sosoma David Koloseni |
| author_facet | Leonce Leandry Innocent Sosoma David Koloseni |
| author_sort | Leonce Leandry |
| collection | DOAJ |
| description | Currently fuzzy set theory has a wide range to model real life problems with incomplete or vague information which perfectly suits the reality and its application is theatrically increasing. This work explored the basic fuzzy operations with the Gaussian Membership using the α-cut method. As it is known that, the Gaussian membership function has a great role in modelling the fuzzy problems this is what impelled to explore its operation which can further be used in analysis of fuzzy problems. Primarily the basic operations which has been discussed here are addition, subtraction, multiplication, division, reciprocal, exponential, logarithmic and nth power. |
| first_indexed | 2024-03-13T01:18:45Z |
| format | Article |
| id | doaj.art-af00352358b24667b342011ed33a63fd |
| institution | Directory Open Access Journal |
| issn | 2783-1442 2717-3453 |
| language | English |
| last_indexed | 2025-03-21T15:11:19Z |
| publishDate | 2022-10-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj.art-af00352358b24667b342011ed33a63fd2024-06-20T06:45:18ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532022-10-013433734810.22105/jfea.2022.339888.1218153240Basic fuzzy arithmetic operations using α–cut for the gaussian membership functionLeonce Leandry0Innocent Sosoma1David Koloseni2Department of Mathematics, Faculty of Commerce, Jordan University, Morogoro, Tanzania.Department of Mathematics and Computer Science, St Augustine University of Tanzania, Mwanza, Tanzan.Department of Mathematics, University of Dar es Salaam, Dar es salaam, Tanzan.Currently fuzzy set theory has a wide range to model real life problems with incomplete or vague information which perfectly suits the reality and its application is theatrically increasing. This work explored the basic fuzzy operations with the Gaussian Membership using the α-cut method. As it is known that, the Gaussian membership function has a great role in modelling the fuzzy problems this is what impelled to explore its operation which can further be used in analysis of fuzzy problems. Primarily the basic operations which has been discussed here are addition, subtraction, multiplication, division, reciprocal, exponential, logarithmic and nth power.https://www.journal-fea.com/article_153240_a2bc1da93313daeeb25f92936855cc77.pdffuzzy arithmeticα–cut and gaussian membership function |
| spellingShingle | Leonce Leandry Innocent Sosoma David Koloseni Basic fuzzy arithmetic operations using α–cut for the gaussian membership function Journal of Fuzzy Extension and Applications fuzzy arithmetic α–cut and gaussian membership function |
| title | Basic fuzzy arithmetic operations using α–cut for the gaussian membership function |
| title_full | Basic fuzzy arithmetic operations using α–cut for the gaussian membership function |
| title_fullStr | Basic fuzzy arithmetic operations using α–cut for the gaussian membership function |
| title_full_unstemmed | Basic fuzzy arithmetic operations using α–cut for the gaussian membership function |
| title_short | Basic fuzzy arithmetic operations using α–cut for the gaussian membership function |
| title_sort | basic fuzzy arithmetic operations using α cut for the gaussian membership function |
| topic | fuzzy arithmetic α–cut and gaussian membership function |
| url | https://www.journal-fea.com/article_153240_a2bc1da93313daeeb25f92936855cc77.pdf |
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