Exponential Aggregation Operator of Interval Neutrosophic Numbers and Its Application in Typhoon Disaster Evaluation
In recent years, typhoon disasters have occurred frequently and the economic losses caused by them have received increasing attention. This study focuses on the evaluation of typhoon disasters based on the interval neutrosophic set theory. An interval neutrosophic set (INS) is a subclass of a neutro...
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doaj-21bce582fcc74f42b91267348073fa1c2020-11-25T02:21:02ZengMDPI AGSymmetry2073-89942018-06-0110619610.3390/sym10060196sym10060196Exponential Aggregation Operator of Interval Neutrosophic Numbers and Its Application in Typhoon Disaster EvaluationRuipu Tan0Wende Zhang1Shengqun Chen2School of Economics and Management, Fuzhou University, Fuzhou 350116, ChinaInstitute of Information Management, Fuzhou University, Fuzhou 350116, ChinaCollege of Electronics and Information Science, Fujian Jiangxia University, Fuzhou 350108, ChinaIn recent years, typhoon disasters have occurred frequently and the economic losses caused by them have received increasing attention. This study focuses on the evaluation of typhoon disasters based on the interval neutrosophic set theory. An interval neutrosophic set (INS) is a subclass of a neutrosophic set (NS). However, the existing exponential operations and their aggregation methods are primarily for the intuitionistic fuzzy set. So, this paper mainly focus on the research of the exponential operational laws of interval neutrosophic numbers (INNs) in which the bases are positive real numbers and the exponents are interval neutrosophic numbers. Several properties based on the exponential operational law are discussed in detail. Then, the interval neutrosophic weighted exponential aggregation (INWEA) operator is used to aggregate assessment information to obtain the comprehensive risk assessment. Finally, a multiple attribute decision making (MADM) approach based on the INWEA operator is introduced and applied to the evaluation of typhoon disasters in Fujian Province, China. Results show that the proposed new approach is feasible and effective in practical applications.http://www.mdpi.com/2073-8994/10/6/196neutrosophic sets (NSs)interval neutrosophic numbers (INNs)exponential operational laws of interval neutrosophic numbersinterval neutrosophic weighted exponential aggregation (INWEA) operatormultiple attribute decision making (MADM)typhoon disaster evaluation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ruipu Tan Wende Zhang Shengqun Chen |
spellingShingle |
Ruipu Tan Wende Zhang Shengqun Chen Exponential Aggregation Operator of Interval Neutrosophic Numbers and Its Application in Typhoon Disaster Evaluation Symmetry neutrosophic sets (NSs) interval neutrosophic numbers (INNs) exponential operational laws of interval neutrosophic numbers interval neutrosophic weighted exponential aggregation (INWEA) operator multiple attribute decision making (MADM) typhoon disaster evaluation |
author_facet |
Ruipu Tan Wende Zhang Shengqun Chen |
author_sort |
Ruipu Tan |
title |
Exponential Aggregation Operator of Interval Neutrosophic Numbers and Its Application in Typhoon Disaster Evaluation |
title_short |
Exponential Aggregation Operator of Interval Neutrosophic Numbers and Its Application in Typhoon Disaster Evaluation |
title_full |
Exponential Aggregation Operator of Interval Neutrosophic Numbers and Its Application in Typhoon Disaster Evaluation |
title_fullStr |
Exponential Aggregation Operator of Interval Neutrosophic Numbers and Its Application in Typhoon Disaster Evaluation |
title_full_unstemmed |
Exponential Aggregation Operator of Interval Neutrosophic Numbers and Its Application in Typhoon Disaster Evaluation |
title_sort |
exponential aggregation operator of interval neutrosophic numbers and its application in typhoon disaster evaluation |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2018-06-01 |
description |
In recent years, typhoon disasters have occurred frequently and the economic losses caused by them have received increasing attention. This study focuses on the evaluation of typhoon disasters based on the interval neutrosophic set theory. An interval neutrosophic set (INS) is a subclass of a neutrosophic set (NS). However, the existing exponential operations and their aggregation methods are primarily for the intuitionistic fuzzy set. So, this paper mainly focus on the research of the exponential operational laws of interval neutrosophic numbers (INNs) in which the bases are positive real numbers and the exponents are interval neutrosophic numbers. Several properties based on the exponential operational law are discussed in detail. Then, the interval neutrosophic weighted exponential aggregation (INWEA) operator is used to aggregate assessment information to obtain the comprehensive risk assessment. Finally, a multiple attribute decision making (MADM) approach based on the INWEA operator is introduced and applied to the evaluation of typhoon disasters in Fujian Province, China. Results show that the proposed new approach is feasible and effective in practical applications. |
topic |
neutrosophic sets (NSs) interval neutrosophic numbers (INNs) exponential operational laws of interval neutrosophic numbers interval neutrosophic weighted exponential aggregation (INWEA) operator multiple attribute decision making (MADM) typhoon disaster evaluation |
url |
http://www.mdpi.com/2073-8994/10/6/196 |
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