Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense
Integral inequalities play critical roles in measure theory and probability theory. Given recent profound discoveries in the field of fuzzy set theory, fuzzy inequality has become a hot research topic in recent years. For classical Sandor type inequality, this paper intends to extend the Sugeno inte...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/9/9/181 |
| _version_ | 1811308395491229696 |
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| author | Haiping Ren Guofu Wang Laijun Luo |
| author_facet | Haiping Ren Guofu Wang Laijun Luo |
| author_sort | Haiping Ren |
| collection | DOAJ |
| description | Integral inequalities play critical roles in measure theory and probability theory. Given recent profound discoveries in the field of fuzzy set theory, fuzzy inequality has become a hot research topic in recent years. For classical Sandor type inequality, this paper intends to extend the Sugeno integral. Based on the (s,m)-convex function in the second sense, a new Sandor type inequality is proposed for the Sugeno integral. Examples are given to verify the conclusion of this paper. |
| first_indexed | 2024-04-13T09:22:20Z |
| format | Article |
| id | doaj.art-9a8ed6413dc946bdb49666b0905f4e70 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-13T09:22:20Z |
| publishDate | 2017-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-9a8ed6413dc946bdb49666b0905f4e702022-12-22T02:52:33ZengMDPI AGSymmetry2073-89942017-09-019918110.3390/sym9090181sym9090181Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second SenseHaiping Ren0Guofu Wang1Laijun Luo2School of Software, Jiangxi University of Science and Technology, Nanchang 330013, ChinaSchool of Mathematics and Statistics, Central South University, Changsha 410083, ChinaSchool of Software, Jiangxi University of Science and Technology, Nanchang 330013, ChinaIntegral inequalities play critical roles in measure theory and probability theory. Given recent profound discoveries in the field of fuzzy set theory, fuzzy inequality has become a hot research topic in recent years. For classical Sandor type inequality, this paper intends to extend the Sugeno integral. Based on the (s,m)-convex function in the second sense, a new Sandor type inequality is proposed for the Sugeno integral. Examples are given to verify the conclusion of this paper.https://www.mdpi.com/2073-8994/9/9/181Sandor type inequality(s,m)-convex function in the second senseSugeno integral |
| spellingShingle | Haiping Ren Guofu Wang Laijun Luo Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense Symmetry Sandor type inequality (s,m)-convex function in the second sense Sugeno integral |
| title | Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense |
| title_full | Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense |
| title_fullStr | Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense |
| title_full_unstemmed | Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense |
| title_short | Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense |
| title_sort | sandor type fuzzy inequality based on the s m convex function in the second sense |
| topic | Sandor type inequality (s,m)-convex function in the second sense Sugeno integral |
| url | https://www.mdpi.com/2073-8994/9/9/181 |
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