VSOP fuzzy numbers and fuzzy comparison relations

Author

Tamura, Naoyuki ; Horiuchi, Kiyomitsu

Author_Institution

Dept. of Comput. & Syst. Eng., Kobe Univ., Japan

fYear

1993

fDate

1993

Firstpage

1287

Abstract

A fuzzy (real) number is usually defined as a normal convex and upper semicontinuous fuzzy set on R. However, the conventional fuzzy numbers do not fulfil some useful algebraic properties, such as axioms for a group. The authors introduce a new fuzzy number system called VSOP (vector set of ordered pairs). VSOP is a natural extension of the conventional fuzzy number, and satisfies the axioms for a ring. Fuzzy comparison relations on VSOP are also introduced. VSOP can be usefully applied to various fuzzy systems, such as fuzzy linear regression analysis, fuzzy linear programming, etc

Keywords

fuzzy set theory; linear programming; statistical analysis; VSOP fuzzy numbers; axioms; fuzzy comparison relations; fuzzy linear programming; fuzzy linear regression analysis; vector set of ordered pairs; Computer science education; Ear; Fuzzy sets; Fuzzy systems; Linear programming; Mathematics; Regression analysis; Systems engineering and theory; Systems engineering education; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1993., Second IEEE International Conference on

Conference_Location

San Francisco, CA

Print_ISBN

0-7803-0614-7

Type

conf

DOI

10.1109/FUZZY.1993.327578

Filename

327578

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2139359