IDS-Previous conferences                                  In memory of late Prof. Lotfi Zadeh   

Special Session

Title of Special Session: Soft Computing and Fuzzy Calculations

This special session is devoted to the most recent developments in the realm of soft computing from a mathematical point of views, with particular emphasis on theoretical advances related to fuzzy approximation and fuzzy numerical analysis. Soft Computing refers to a family of several techniques such as Fuzzy Logic, Neuro-computing and Fuzzy Computations, able to cope with lots of complex real-world problems. Therefore, this special session on “Soft Computing and Fuzzy Calculations” provides a forum to researchers to show original research works and real applications mainly related to possible uses of Soft Computing techniques and providing an opportunity for researchers working this research area to discuss in fundamental, approaches, methodologies, software systems, and applications, to share their novel ideas, original research results and practical experiences.
The goal is to discuss and disseminate the most recent advancements focused on: 
 
1-  Fuzzy Approximation and Optimization
2-  Fuzzy Differential and Integral Equations 
3-  Fuzzy Systems
4-  Neural Networks and Neuro-computing
5-  Fuzzy Algorithms
6-  Fuzzy Simulation and Modeling
7-  Fuzzy Computations
8-  Fuzzy Reasoning
9-  Image Processing
10-  Applications in these areas
 
Organizers:
 
 
•  Majid Amirfakhrian, Department of Mathematics, Faculty of Basic Sciences, Central Tehran branch. IAU, Iran
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•  Mohammad Ali Fariborzi, Department of Mathematics, Faculty of Basic Sciences, Central Tehran branch. IAU, Iran
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Title of Special Session: Interval arithmetic and applications

Interval arithmetic and interval differential equations (IDEs) have not been considered enough for a long time. However, in the recent years, the scientists found the applicability of this significant notion measure uncertainties in the mathematical modeling with uncertain parameters. Therefore, a number of researches have been done in this regard to analyze the mathematical systems based on the interval parameters and study the existence and uniqueness of the interval solutions of the IDEs. As a matter of fact, interval arithmetic is a branch of fuzzy sets that we deal with the intervals from the first step of modeling or numerical algorithm that can reduce the complexity and computational difficulties compared with fuzzy systems. IDEs have been actively researched through the modeling of many exciting real-world problems in all branches of science and engineering, including hydraulic systems, population models, medicine, modeling of periodic phenomena through interval systems etc.

Specific topics of interest include (but are not limited to):

• Foundation of Interval arithmetic (Interval arithmetic operations, Generalized Hukuhara difference, Differentiation of interval-valued functions, variant of constraint interval arithmetic,  etc.)

• Interval ordinary differential equations (Existence, Uniqueness and Stability of the solution)

• Interval integral differential equations 

• Fractional calculus for interval-valued functions 

• Interval dynamical systems and their relevant approximate solutions 

• Spectral solutions of interval integer and fractional models arising in the physical models 

• Numerical solutions of Hybrid Interval differential equations

• Approximate solutions of interval integro-differential equations

• Interval functional, stochastic, fractional and random differential equations with their numerical solutions

This mini-symposium is organized by:


 



• Dr. S. Salahshour, Young Researchers and Elite Club, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran.

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• Dr. A. Ahmadian, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia.

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