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Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model

In this paper, we study two new binary operations, which are addition and scalar multiplication, for intuitionistic fuzzy numbers (IFNs). Thereafter, we introduce a semi-linear space for IFNs that it is called the narrow metric semi-linear space—L∗ . At the same time, we present a new type of intui...

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主要な著者: Nguyen, Dinh Phu, Ahmadian, Ali, Nguyen, Nhut Hung, Salahshour, Soheil, Senu, Norazak
フォーマット: 論文
出版事項: Springer 2019
オンライン･アクセス:http://psasir.upm.edu.my/id/eprint/81455/
https://link.springer.com/article/10.1007/s40815-019-00649-3
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spelling my.upm.eprints.814552023-07-06T01:57:07Z http://psasir.upm.edu.my/id/eprint/81455/ Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model Nguyen, Dinh Phu Ahmadian, Ali Nguyen, Nhut Hung Salahshour, Soheil Senu, Norazak In this paper, we study two new binary operations, which are addition and scalar multiplication, for intuitionistic fuzzy numbers (IFNs). Thereafter, we introduce a semi-linear space for IFNs that it is called the narrow metric semi-linear space—L∗ . At the same time, we present a new type of intuitionistic fuzzy functions with a real domain and propose a number of concepts and properties for these functions such as geometric difference, geometric differentiability, derivative and integral. In addition, we give a model of initial value problem for intuitionistic fuzzy differential equations and present its application to an AIDS model. Some examples are given to illustrate the theoretical results. Springer 2019-07-08 Article PeerReviewed Nguyen, Dinh Phu and Ahmadian, Ali and Nguyen, Nhut Hung and Salahshour, Soheil and Senu, Norazak (2019) Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model. International Journal of Fuzzy Systems, 21. pp. 1738-1754. ISSN 1562-2479; ESSN: 2199-3211 https://link.springer.com/article/10.1007/s40815-019-00649-3 10.1007/s40815-019-00649-3
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description In this paper, we study two new binary operations, which are addition and scalar multiplication, for intuitionistic fuzzy numbers (IFNs). Thereafter, we introduce a semi-linear space for IFNs that it is called the narrow metric semi-linear space—L∗ . At the same time, we present a new type of intuitionistic fuzzy functions with a real domain and propose a number of concepts and properties for these functions such as geometric difference, geometric differentiability, derivative and integral. In addition, we give a model of initial value problem for intuitionistic fuzzy differential equations and present its application to an AIDS model. Some examples are given to illustrate the theoretical results.
format Article
author Nguyen, Dinh Phu
Ahmadian, Ali
Nguyen, Nhut Hung
Salahshour, Soheil
Senu, Norazak
spellingShingle Nguyen, Dinh Phu
Ahmadian, Ali
Nguyen, Nhut Hung
Salahshour, Soheil
Senu, Norazak
Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model
author_facet Nguyen, Dinh Phu
Ahmadian, Ali
Nguyen, Nhut Hung
Salahshour, Soheil
Senu, Norazak
author_sort Nguyen, Dinh Phu
title Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model
title_short Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model
title_full Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model
title_fullStr Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model
title_full_unstemmed Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model
title_sort narrow metric semi-linear space of intuitionistic fuzzy numbers: application to aids model
publisher Springer
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/81455/
https://link.springer.com/article/10.1007/s40815-019-00649-3
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