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Fuzzy relation equations with dual composition

Lenka Nosková
2005 European Society for Fuzzy Logic and Technology  
In this paper we investigate the System of fuzzy relation equations with inf → composition. We base on the knowledge of he system of fuzzy relation equations with sup − * -composition.  ...  Finally is investigated a simple criterion of solvability for a special case of fuzzy sets.  ...  Systems of fuzzy relation equations Let n ≥ 1.  ... 
dblp:conf/eusflat/Noskova05 fatcat:bznsm6hktjdzvge36k4znyte6e

Differential Equations based on Fuzzy Rules

Marina R. B. Dias, Laécio C. Barros
2009 European Society for Fuzzy Logic and Technology  
The purpose of this paper is to use the Fuzzy Set Theory, specially fuzzy rule-based systems, as a mathematical tool for modeling dynamical systems given by differential equation, whose direction field  ...  As fuzzy systems methodology produces input-output systems, that is, it produces m outputs from n inputs, one can see it as fr : R n → R m , where r is the number of rules of the rule base.  ...  Recently, the use of Fuzzy Set Theory to incorporate uncertainties in differential equations has been increased, so we have the fuzzy differential equations.  ... 
dblp:conf/eusflat/DiasB09 fatcat:qgc44euekrhvdm4ux3shabhn4q

Systems of Fuzzy Relation Equations in a Space with Fuzzy Preorder

Irina Perfilieva
2009 European Society for Fuzzy Logic and Technology  
In this paper, we consider the problem of solving systems of fuzzy relation equations in a space with fuzzy preorder. Two types of these systems with different compositions are considered.  ...  The new criteria are weaker than all the known ones that are based on the assumption that fuzzy sets on the left-hand side of a system establish a fuzzy partition of a respective universe.  ...  logic (in a broader sense).  ... 
dblp:conf/eusflat/Perfilieva09 fatcat:spy5x6c4fffexouyee5va75b3a

Fuzzy relation equations in pseudo BL-algebras

Yong Chan Kim
2013 International Journal of Fuzzy Logic and Intelligent Systems  
Bandler and Kohout investigated the solvability of fuzzy relation equations with inf-implication compositions in complete lattices.  ...  Perfilieva and Noskova investigated the solvability of fuzzy relation equations with inf-implication compositions in BL-algebras.  ...  Let y = International Journal of Fuzzy Logic and Intelligent Systems, vol.13, no. 3, September 2013 www.ijfis.org Fuzzy relation equations in pseudo BL-algebras | 214  ... 
doi:10.5391/ijfis.2013.13.3.208 fatcat:v5kkrb5s4zaj5gyhbrpye7hmsu

Fuzzy relation equations and approximate solutions. Some recent results

Siegfried Gottwald
2003 European Society for Fuzzy Logic and Technology  
We reconsider some of the results in this field and extend them using more recent results on t-norm based fuzzy logics and on approximation processes.  ...  For theoretical fuzzy control it is a well known strategy to transform a system of control rules into a system of relation equations.  ...  Then the fuzzy relation R MA is a solution of the system (3) of fuzzy relation equations iff for all i, j = 1, . . . , n one has |= A i ∩ t A j ≡ * t ∅ → B i ⊂ = t B j .  ... 
dblp:conf/eusflat/Gottwald03 fatcat:lx5eh7d66ra43aeanswgzfqity

A Generalized Numerical Solution for Fuzzy Relation Equations

Iman Mohammadi Ardehali, Milad Avazbeigi
2009 European Society for Fuzzy Logic and Technology  
In this paper, line search based on Sequential Quadratic Programming is implemented in order to find a solution to Fuzzy Relation Equations.  ...  Unlike analytical approaches, the method can handle equations with any combinations of t-norms and t-conorms and at any dimensions. It is assumed that the FRE problem has at least one solution.  ...  Introduction Fuzzy Relation Equations were first introduced by Sanchez [1] in 1976.  ... 
dblp:conf/eusflat/ArdehaliA09 fatcat:kt2pkohzmzh5pccubxhmsbvc7e

Fuzzy Differential Equation with p-Derivative

Yurilev Chalco-Cano, Heriberto Román-Flores, María-Dolores Jiménez-Gamero
2009 European Society for Fuzzy Logic and Technology  
The π-derivative for fuzzy function is considered. Consequently, using this π-derivative we study fuzzy differentuial equations.  ...  In particular, we build a solution for a fuzzy differential equation with the help of a system of ordinary differential equations which is generates of the π-derivative.  ...  Consequently, using the π-derivative for fuzzy functions, we study fuzzy differential equations.  ... 
dblp:conf/eusflat/Chalco-CanoRG09 fatcat:gjp4g7qcknedbgnufboxbymvjy

Modelling with ANIMO: between fuzzy logic and differential equations

Stefano Schivo, Jetse Scholma, Paul E. van der Vet, Marcel Karperien, Janine N. Post, Jaco van de Pol, Rom Langerak
2016 BMC Systems Biology  
The ANIMO models require less parameters than ODEs and are more precise than fuzzy logic. For this reason we position the modelling paradigm of ANIMO between ODEs and fuzzy logic.  ...  The models were originally developed with ODEs and fuzzy logic, respectively.  ...  Boolean and Fuzzy Logic are based mainly on discrete transitions, whereas ordinary differential equations (ODEs) form a purely continuous model.  ... 
doi:10.1186/s12918-016-0286-z pmid:27460034 pmcid:PMC4962523 fatcat:atcduvqfgbhm5imvz25nhetknm

Abductive reasoning in normal residuated logic programming via bipolar max-product fuzzy relation equations

David Lobo, Maria Eugenia Cornejo Piñero, Jesús Medina
2019 Proceedings of the 2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)  
fuzzy relation equations.  ...  This paper shows an abductive procedure for a special kind of normal residuated logic program by means of bipolar maxproduct fuzzy relation equations.  ...  In [2] , multi-adjoint fuzzy relation equations are presented as a decision support system for fuzzy logic programming.  ... 
doi:10.2991/eusflat-19.2019.81 dblp:conf/eusflat/LoboPM19 fatcat:xmn7czajqfh3rc3ds77ep257ky

A Fuzzy Delay Differential Equation Model for HIV Dynamics

Rosana Motta Jafelice, Laécio C. Barros, Rodney Carlos Bassanezi
2009 European Society for Fuzzy Logic and Technology  
A fuzzy rulebased system is used to model this parameter. The solution of the system of delay differential equations, which is a fuzzy process, is obtained from Zadeh's Extension Principle.  ...  This paper presents a process to obtain the solution (or flux) of a fuzzy delay system and to determine the fuzzy expected curve for the HIV (human immunodeficiency virus) when HIV-positive individuals  ...  Therefore, to study HIV decline over time, we developed a model which is a combination of classic delay differential equations and fuzzy logic.  ... 
dblp:conf/eusflat/JafeliceBB09 fatcat:rwwfp5udzbaeppr26vm5fruwqq

Solvability of Fuzzy Relational Equations Employing Undefined Values

Nhung Cao
2019 Proceedings of the 2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)  
The paper aims at studying the solvability of fuzzy relational equations where the input fuzzy sets may have undefined values.  ...  Then the solvability criterions for such new systems of fuzzy relational equations are set up, and consequently, we show a way of checking whether the systems are solvable or not.  ...  It is worth recalling that fuzzy partial logics are a generalization of three-valued logics into many-valued logics, usually [0, 1]-valued logics and they model the vagueness phenomenon extended by the  ... 
doi:10.2991/eusflat-19.2019.34 dblp:conf/eusflat/Cao19 fatcat:etnf4tmtcfb57novbzkj76436y

Numerical Solutions of Fuzzy Fractional Delay Differential Equations

V. Padmapriya, M. Kaliyappan, A. Manivannan
2020 International Journal of Fuzzy Logic and Intelligent Systems  
In this paper, a novel technique is proposed to solve fuzzy fractional delay differential equations (FFDDEs) with initial condition and source function, which are fuzzy triangular functions.  ...  The obtained solution is a fuzzy set of real functions. Each real function satisfies an FFDDE with a specific membership degree. A detailed algorithm is provided to solve the FFDDE.  ...  International Journal of Fuzzy Logic and Intelligent Systems, vol. 20, no. 3, September 2020 | V. Padmapriya, M. Kaliyappan, and A.  ... 
doi:10.5391/ijfis.2020.20.3.247 fatcat:f3skl6rmsjhcjflg6h2m7nkby4

Development of Multiple Linguistic Equation Models with Takagi-Sugeno Type Fuzzy Models

Esko Juuso
2009 European Society for Fuzzy Logic and Technology  
Special cases of fuzzy linguistic equation models, which can be understood as linguistic Takagi-Sugeno (LTS) type fuzzy models, can be used to solve these problems in many cases.  ...  This paper presents a set of fuzzy linguistic equation models, which combine nonlinear scaling and Takagi-Sugeno type fuzzy models.  ...  Methodologies Linguistic equations The linguistic equation (LE) approach originates from fuzzy set systems: rule sets are replaced with equations, and the effects of membership functions are handled  ... 
dblp:conf/eusflat/Juuso09 fatcat:a5xb777fyffq5gw5kwendivcoq

Solving fuzzy Volterra integro-differential equation by fuzzy differential transform method

Nasser Mikaeilvand, Sakineh Khakrangin, Tofigh Allahviranloo
2011 Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011)  
In this study, differential transform method (DTM) is applied to fuzzy integro-differential equation. The concept of generalized Hdifferentiability is used.  ...  If the equation has a solution in terms of the series expansion of known functions; this powerful method catches the exact solution.  ...  Introduction When a physical system is modeled under the differential sense; It finally gives a fuzzy differential equation, a fuzzy integral equation or a fuzzy integro-differential equation and hence  ... 
doi:10.2991/eusflat.2011.56 dblp:conf/eusflat/MikaeilvandKA11 fatcat:amvtvtxwlfb73byf66v6ehgize

Approximate Controllability Results for Impulsive Linear Fuzzy Stochastic Differential Equations Under Nonlocal Conditions

Narayanamoorthy S
2015 International Journal of Fuzzy Logic Systems  
In this paper, the approximate controllability of impulsive linear fuzzy stochastic differential equations with nonlocal conditions in Banach space is studied.  ...  By using the Banach fixed point theorems, stochastic analysis, fuzzy process and fuzzy solution, some sufficient conditions are given for the approximate controllability of the system.  ...  Semwal et. al [14] studied the less computationally intensive fuzzy logic based controller for humanoid push recovery.  ... 
doi:10.5121/ijfls.2015.5403 fatcat:ewbjiewxvndohopwvalbrcpvh4
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