Open AccessIntegrated and Differentiated Spaces of Triangular Fuzzy Numbers
Author(s) -
Murat Kirişçi
Publication year - 2017
Publication title -
fasciculi mathematici
Language(s) - English
Resource type - Journals
ISSN - 0044-4413
DOI - 10.1515/fascmath-2017-0018
Subject(s) - mathematics , fuzzy number , algebraic structure , fuzzy mathematics , fuzzy logic , algebra over a field , matrix (chemical analysis) , topological space , fuzzy set , sequence (biology) , construct (python library) , algebraic number , cornerstone , discrete mathematics , topology (electrical circuits) , pure mathematics , computer science , combinatorics , artificial intelligence , mathematical analysis , materials science , biology , composite material , genetics , programming language , art , visual arts
Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling. Fuzzy sets have be- come popular in every branch of mathematics such as analysis, topology, algebra, applied mathematics etc. Thus fuzzy sets triggered the creation of a wide range of research topics in all areas of science in a short time. In this paper, we use the triangular fuzzy numbers for matrix domains of sequence spaces with infinite matrices. We construct the new space with triangular fuzzy numbers and investigate to structural, topological and algebraic properties of these spaces.