Fuzzy number-valued triangular norm-based decomposable time-stamped fuzzy measure and integration

被引：0

作者：

Ghaffari, Abbas ^{[1
]}

Saadati, Reza ^{[2
]}

Mesiar, Radko ^{[3
,4
]}

机构：

[1] Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

[2] Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

[3] Palacký University Olomouc, Faculty of Science, Department of Algebra and Geometry, 17. listopadu 12, Olomouc,771 46, Czech Republic

[4] Faculty of Civil Engineering, Department of Mathematics, Radlinského 11, Bratislava,810 05, Slovakia

来源：

Fuzzy Sets and Systems | 2022年 / 430卷

关键词：

Integration;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we introduce a new concept of fuzzy measure and fuzzy integration which has a dynamic position and is different from previous approaches. Our definition of a new type of fuzzy measure deals with distance functions (special L-fuzzy numbers) and is based on continuous triangular norms. By this concept, we construct a new version of measure theory and integration which is more flexible since the measure of the set both depends on the set itself and on the other parameter named by time. Our approach is related to the idea of fuzzy metric spaces. We study some fuzzy measures induced by classical measures. An integral based on the introduced measures is proposed and studied, too. To complete our paper, we prove some limits and convergence theorems. © 2021 Elsevier B.V.

引用

页码：144 / 173

共 34 条

[21] Measuring Attribute Importance in Multiple Criteria Decision Making Based on Fuzzy Number-valued Fuzzy Measures
Chen, Ting-Yu
Ku, Tai-Chun
Tsui, Che-Wei
PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON OPERATIONS AND SUPPLY CHAIN MANAGEMENT, 2008, : 285 - 292
[22] A construction of a fuzzy valued measure based on minimum T-norm
Ruzha, Vochislav
Asmuss, Svetlana
NEW DIMENSIONS IN FUZZY LOGIC AND RELATED TECHNOLOGIES, VOL II, PROCEEDINGS, 2007, : 175 - 177
[23] Comments on "A distance-based statistical analysis of fuzzy number-valued data" by the SMIRE research group
Destercke, S.
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2014, 55 (07) : 1575 - 1577
[24] SOME PROPERTIES OF THE INTERVAL-VALUED GENERALIZED FUZZY INTEGRAL WITH RESPECT TO A FUZZY MEASURE BY MEANS OF AN INTERVAL-REPRESENTABLE GENERALIZED TRIANGULAR NORM
Jang, Lee-Chae
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (07) : 1280 - 1290
[25] Fuzzy mixture inventory model with variable lead-time based on probabilistic fuzzy set and triangular fuzzy number
Chang, HC
Yao, JS
Ouyang, LY
MATHEMATICAL AND COMPUTER MODELLING, 2004, 39 (2-3) : 287 - 304
[26] Sugeno-Weber triangular norm-based aggregation operators under T-spherical fuzzy hypersoft context
Sarkar, Arun
Senapati, Tapan
Jin, LeSheng
Mesiar, Radko
Biswas, Animesh
Yager, Ronald R.
INFORMATION SCIENCES, 2023, 645
[27] Norm-based distance measure of q-rung orthopair fuzzy sets and its application in decision-making
Ali, Jawad
COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (04):
[28] Norm-based distance measure of q-rung orthopair fuzzy sets and its application in decision-making
Jawad Ali
Computational and Applied Mathematics, 2023, 42
[29] Decision-making for solar panel selection using Sugeno-Weber triangular norm-based on q-rung orthopair fuzzy information
Wang, Yibo
Hussain, Abrar
Yin, Shi
Ullah, Kifayat
Bozanic, Darko
FRONTIERS IN ENERGY RESEARCH, 2024, 11
[30] Multi-criteria Decision Making with Triangular Intuitionistic Fuzzy Number based on Distance Measure & Parametric Entropy Approach
Saini, Namita
Bajaj, Rakesh Kumar
Gandotra, Neeraj
Dwivedi, Ram Prakash
6TH INTERNATIONAL CONFERENCE ON SMART COMPUTING AND COMMUNICATIONS, 2018, 125 : 34 - 41

← 1 2 3 4 →