scholarly journals Fuzzy Cubic Spline Interpolation with Triangular Fuzzy Numbers

2020 ◽  
Vol 8 (5) ◽  
pp. 4164-4166
Keyword(s):  
Fuzzy Numbers ◽  
Spline Interpolation ◽  
Applied Mathematics ◽  
Cubic Spline ◽  
Triangular Fuzzy Numbers ◽  
Best Approximations ◽  
Fuzzy Function ◽  
Novel Approach ◽  
Set Of Points ◽  
Spline Polynomial

In applied mathematics, the salient and engrossing aspect is how to best approximate a function in a given space. In this paper a cubic spline polynomial approximation as best approximations of fuzzy function on a discrete set of points. In this work a novel approach is adopted to show this method using Triangular fuzzy numbers.

scholarly journals A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers

Mathematics ◽  
2021 ◽  
Vol 9 (22) ◽  
pp. 2937
Author(s):  
Saeid Jafarzadeh Ghoushchi ◽  
Elnaz Osgooei ◽  
Gholamreza Haseli ◽  
Hana Tomaskova
Keyword(s):  
Linear Programming ◽  
Fuzzy Numbers ◽  
Triangular Fuzzy Number ◽  
Fuzzy Linear Programming ◽  
Fuzzy Decision ◽  
Triangular Fuzzy Numbers ◽  
Novel Approach ◽  
Decision Variables ◽  
Linear Programming Problems ◽  
Fuzzy Solution

Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut theory and modified triangular fuzzy numbers, is suggested to obtain the optimal fully fuzzy solution for real-world problems. In this method, the problem is considered as a fully fuzzy problem and then is solved by applying the new definition presented for the triangular fuzzy number to optimize decision variables and the objective function. Several numerical examples are solved to illustrate the above method.

scholarly journals Integrated and Differentiated Spaces of Triangular Fuzzy Numbers

2017 ◽  
Vol 59 (1) ◽  
pp. 75-89 ◽  
Author(s):  
Murat Kirişci
Keyword(s):  
Fuzzy Sets ◽  
Fuzzy Numbers ◽  
Applied Mathematics ◽  
Possibility Theory ◽  
Triangular Fuzzy Numbers ◽  
Wide Range ◽  
Versatile Tool ◽  
New Space ◽  
Matrix Domains ◽  
Short Time

AbstractFuzzy 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.

Totally Symmetric Type-2 Triangular Fuzzy Numbers

2018 ◽  
Vol 9 (11) ◽  
pp. 1717-1727
Author(s):  
Ajay Minj ◽  
Pathinathan T.
Keyword(s):  
Fuzzy Numbers ◽  
Triangular Fuzzy Numbers
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