On Fuzzy RDM-Arithmetic

被引：19

作者：

Piegat, Andrzej ^{[1
]}

Landowski, Marek ^{[2
]}

机构：

[1] West Pomeranian Univ Technol, Zolnierska St 49, PL-71210 Szczecin, Poland

[2] Maritime Univ Szczecin, Waly Chrobrego 1-2, PL-70500 Szczecin, Poland

来源：

HARD AND SOFT COMPUTING FOR ARTIFICIAL INTELLIGENCE, MULTIMEDIA AND SECURITY | 2017年 / 534卷

关键词：

Fuzzy arithmetic; Granular computing; Fuzzy RDM arithmetic; Horizontal membership function; Fuzzy HMF arithmetic; Multidimensional fuzzy arithmetic; HORIZONTAL MEMBERSHIP FUNCTION;

D O I：

10.1007/978-3-319-48429-7_1

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The paper presents notion of horizontal membership function (HMF) and based on it fuzzy, relative distance measure (fuzzy RDM) arithmetic that is compared with standard fuzzy arithmetic (SF arithmetic). Fuzzy RDM-arithmetic possess such mathematical properties which allow for achieving complete fuzzy solution sets of problems, whereas SF-arithmetic, in general, delivers only approximate, partial solutions and sometimes no solutions of problems. The paper explains how to realize arithmetic operations with fuzzy RDM-arithmetic and shows examples of its application.

引用

页码：3 / 16

页数：14

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