Simplified Interval-Valued Intuitionistic Fuzzy Line Integrals and Their Application
In the past few years, the intuitionistic fuzzy calculus (IFC) has been proposed, which is based on some basic operational laws of intuitionistic fuzzy numbers (IFNs). The interval-valued intuitionistic fuzzy sets have received great attention of scholars since they can describe the characters of th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8824056/ |
| _version_ | 1828406427889172480 |
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| author | Zhenghai Ai Xiaoqin Shu Zeshui Xu |
| author_facet | Zhenghai Ai Xiaoqin Shu Zeshui Xu |
| author_sort | Zhenghai Ai |
| collection | DOAJ |
| description | In the past few years, the intuitionistic fuzzy calculus (IFC) has been proposed, which is based on some basic operational laws of intuitionistic fuzzy numbers (IFNs). The interval-valued intuitionistic fuzzy sets have received great attention of scholars since they can describe the characters of things comprehensively. However, so far, the interval-valued IFC is in the original stage. In this paper, we focus on investigating the simplified interval-valued intuitionistic fuzzy line integrals (SIVIFLIs). First, we construct the SIVIFLIs step by step, and then provide their concrete values. In order to further describe the characteristic of the SIVIFLIs, we discuss their basic properties, and particularly, we investigate a kind of the order in intuitionistic fuzzy circumstance in detail. Finally, we offer an application and address it by the proposed SIVIFLIs to demonstrate their effectiveness and practicability. |
| first_indexed | 2024-12-10T11:11:31Z |
| format | Article |
| id | doaj.art-95910f6f8adc480da8e73912199b785e |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-10T11:11:31Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-95910f6f8adc480da8e73912199b785e2022-12-22T01:51:24ZengIEEEIEEE Access2169-35362019-01-01713425613427010.1109/ACCESS.2019.29393648824056Simplified Interval-Valued Intuitionistic Fuzzy Line Integrals and Their ApplicationZhenghai Ai0https://orcid.org/0000-0001-9153-3790Xiaoqin Shu1https://orcid.org/0000-0002-6090-8462Zeshui Xu2School of Mathematics and Information Science, Leshan Normal University, Leshan, ChinaSchool of Physics and Electronic Engineering, Leshan Normal University, Leshan, ChinaState Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu, ChinaIn the past few years, the intuitionistic fuzzy calculus (IFC) has been proposed, which is based on some basic operational laws of intuitionistic fuzzy numbers (IFNs). The interval-valued intuitionistic fuzzy sets have received great attention of scholars since they can describe the characters of things comprehensively. However, so far, the interval-valued IFC is in the original stage. In this paper, we focus on investigating the simplified interval-valued intuitionistic fuzzy line integrals (SIVIFLIs). First, we construct the SIVIFLIs step by step, and then provide their concrete values. In order to further describe the characteristic of the SIVIFLIs, we discuss their basic properties, and particularly, we investigate a kind of the order in intuitionistic fuzzy circumstance in detail. Finally, we offer an application and address it by the proposed SIVIFLIs to demonstrate their effectiveness and practicability.https://ieeexplore.ieee.org/document/8824056/Interval-valued intuitionistic fuzzy setinterval-valued intuitionistic fuzzy calculussimplified interval-valued intuitionistic fuzzy line integralsorderapplication |
| spellingShingle | Zhenghai Ai Xiaoqin Shu Zeshui Xu Simplified Interval-Valued Intuitionistic Fuzzy Line Integrals and Their Application IEEE Access Interval-valued intuitionistic fuzzy set interval-valued intuitionistic fuzzy calculus simplified interval-valued intuitionistic fuzzy line integrals order application |
| title | Simplified Interval-Valued Intuitionistic Fuzzy Line Integrals and Their Application |
| title_full | Simplified Interval-Valued Intuitionistic Fuzzy Line Integrals and Their Application |
| title_fullStr | Simplified Interval-Valued Intuitionistic Fuzzy Line Integrals and Their Application |
| title_full_unstemmed | Simplified Interval-Valued Intuitionistic Fuzzy Line Integrals and Their Application |
| title_short | Simplified Interval-Valued Intuitionistic Fuzzy Line Integrals and Their Application |
| title_sort | simplified interval valued intuitionistic fuzzy line integrals and their application |
| topic | Interval-valued intuitionistic fuzzy set interval-valued intuitionistic fuzzy calculus simplified interval-valued intuitionistic fuzzy line integrals order application |
| url | https://ieeexplore.ieee.org/document/8824056/ |
| work_keys_str_mv | AT zhenghaiai simplifiedintervalvaluedintuitionisticfuzzylineintegralsandtheirapplication AT xiaoqinshu simplifiedintervalvaluedintuitionisticfuzzylineintegralsandtheirapplication AT zeshuixu simplifiedintervalvaluedintuitionisticfuzzylineintegralsandtheirapplication |