Interval subsethood measures with respect to uncertainty for the interval-valued fuzzy setting

被引：0

作者：

Pękala B. ^{[1
]}

Bentkowska U. ^{[1
]}

Sesma-Sara M. ^{[2
,3
]}

Fernandez J. ^{[2
,3
]}

Lafuente J. ^{[2
]}

Altalhi A. ^{[4
]}

Knap M. ^{[1
]}

Bustince H. ^{[2
,3
,4
]}

Pintor J.M. ^{[5
]}

机构：

[1] Institute of Computer Science, University of Rzeszów, Rzeszów

[2] Departamento de Estadística, Informática y Matemáticas, Universidad Pública de Navarra, Pamplona

[3] Institute of Smart Cities, Universidad Publica de Navarra, Pamplona

[4] Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah

[5] Department of Engineering, Universidad Publica de Navarra, Pamplona

来源：

International Journal of Computational Intelligence Systems | 2020年 / 13卷 / 01期

关键词：

Aggregation function; Interval-valued fuzzy set; Subsethood measure;

D O I：

10.2991/ijcis.d.200204.001

中图分类号：

学科分类号：

摘要：

In this paper, the problem of measuring the degree of subsethood in the interval-valued fuzzy setting is addressed. Taking into account the widths of the intervals, two types of interval subsethood measures are proposed. Additionally, their relation and main properties are studied. These developments are made both with respect to the regular partial order of intervals and with respect to admissible orders. Finally, some construction methods of the introduced interval subsethood measures with the use interval-valued aggregation functions are examined. © 2020 The Authors. Published by Atlantis Press SARL.

引用

页码：167 / 177

页数：10

共 50 条

[1] Subsethood measures for interval-valued fuzzy sets based on the aggregation of interval fuzzy implications
Takac, Zdenko
[J]. FUZZY SETS AND SYSTEMS, 2016, 283 : 120 - 139
[2] On Uncertainty Measures of the Interval-Valued Hesitant Fuzzy Set
Xu, Yingjun
[J]. ADVANCES IN FUZZY SYSTEMS, 2023, 2023
[3] Interval-valued fuzzy strong S-subsethood measures, interval-entropy and P-interval-entropy
Takac, Zdenko
Minarova, Maria
Montero, Javier
Barrenechea, Edurne
Fernandez, Javier
Bustince, Humberto
[J]. INFORMATION SCIENCES, 2018, 432 : 97 - 115
[4] Entropy and subsethood for general interval-valued intuitionistic fuzzy sets
Liu, XD
Zheng, SH
Xiong, FL
[J]. FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, PT 1, PROCEEDINGS, 2005, 3613 : 42 - 52
[5] INTERVAL-VALUED FUZZY HYPERGRAPH AND INTERVAL-VALUED FUZZY HYPEROPERATIONS
Feng, Yuming
Tu, Dan
Li, Hongyi
[J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, (36): : 1 - 12
[6] Interval-Valued fuzzy hypergraph and Interval-Valued fuzzy hyperoperations
[J]. Feng, Yuming (yumingfeng25928@163.com), 1600, Forum-Editrice Universitaria Udinese SRL (36):
[7] Subsethood, entropy, and cardinality for interval-valued fuzzy sets - An algebraic derivation
Vlachos, Ioannis K.
Sergiadis, George D.
[J]. FUZZY SETS AND SYSTEMS, 2007, 158 (12) : 1384 - 1396
[8] Uncertainty-Aware Dissimilarity Measures for Interval-Valued Fuzzy Sets
Torres-Manzanera, Emilio
Kral, Pavol
Janis, Vladimir
Montes, Susana
[J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2020, 28 (05) : 757 - 768
[9] Uncertainty Measures in Interval-Valued Information Systems
Zhang, Nan
Zhang, Zehua
[J]. ROUGH SETS AND KNOWLEDGE TECHNOLOGY, RSKT 2014, 2014, 8818 : 479 - 488
[10] Similarity measures of interval-valued fuzzy sets
Li, Yingfang
Qin, Keyun
He, Xingxing
Meng, Dan
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 28 (05) : 2113 - 2125

← 1 2 3 4 5 →