Cálculo diferencial e integral baseado aritmética de números fuzzy interativos

• Processo: 16/26040-7
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Data de Início da vigência: 01 de julho de 2017
• Data de Término da vigência: 30 de junho de 2019
• Área do conhecimento: Ciências Exatas e da Terra - Ciência da Computação - Matemática da Computação
• Pesquisador responsável: Estevão Esmi Laureano
• Beneficiário: Estevão Esmi Laureano
• Instituição Sede: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brasil
• Assunto(s): Cálculo diferencial e integral Equações diferenciais Aritmética Lógica fuzzy
• Palavra(s)-Chave do Pesquisador: Cálculo Diferencial e Integral Fuzzy | conjuntos fuzzy | Equação Diferencial e Integral Fuzzy | Logica Fuzzy | Números Fuzzy | Princípio de Extensão de Zadeh | Inteligência Computacional Baseado em Teoria de Conjuntos Fuzzy

Resumo

Teoria de conjuntos fuzzy é uma área da matemática projetada para analisar e processar conjuntos (conceitos) com fronteiras imprecisas. Recentemente, pesquisadores têm investigado soluções de sistemas dinâmicos cujos parâmetros e/ou variáveis assumem valores na classe dos números fuzzy (R_F). Nesse projeto desenvolveremos uma nova teoria de cálculo diferencial e integral para funções de R para R_F cuja imagem pode admitir (ou não) um certo tipo especial de relação entre seus valores denominada interatividade. Para tal, utilizaremos o princípio de extensão sup-J que consiste em um método para estender operadores clássicos de forma que seja possível lidarem com entradas dadas por números fuzzy, com ou sem interatividade. Por fim, aplicaremos a teoria de cálculo desenvolvida para investigar analiticamente e numericamente soluções de sistemas dinâmicos dados por equações diferencias e integrais fuzzy. Em particular, focaremos no estudo de dinâmicas populacionais bem como de epidemias encontradas na área de biomatemática. (AU)

Publicações científicas

(33)

(Referências obtidas automaticamente do Web of Science e do SciELO, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores)

ESMI, ESTEVAO; DE BARROS, LAECIO CARVALHO; SANTO PEDRO, FRANCIELLE; LAIATE, BEATRIZ. Banach spaces generated by strongly linearly independent fuzzy numbers. FUZZY SETS AND SYSTEMS, v. 417, n. SI, p. 110-129, AUG 1 2021. (16/26040-7)

PEDRO, FRANCIELLE SANTO; ESMI, ESTEVAO; DE BARROS, LAECIO CARVALHO. Calculus for linearly correlated fuzzy function using Frechet derivative and Riemann integral. INFORMATION SCIENCES, v. 512, p. 219-237, FEB 2020. (16/26040-7)

BARROS, LAECIO C.; PINTO, NILMARA J. B.; ESMI, ESTEVAO; KEARFOTT, RB; BATYRSHIN, I; REFORMAT, M; CEBERIO, M; KREINOVICH, V. On Fuzzy Optimization Foundation. FUZZY TECHNIQUES: THEORY AND APPLICATIONS, v. 1000, p. 9-pg., 2019-01-01. (16/26040-7)

BUENO SALGADO, SILVIO ANTONIO; DE BARROS, LAECIO CARVALHO; ESMI, ESTEVAO; EDUARDO SANCHEZ, DANIEL. Solution of a fuzzy differential equation with interactivity via Laplace transform. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v. 37, n. 2, p. 2495-2501, 2019. (16/26040-7, 18/10946-2)

EDUARDO SANCHEZ, DANIEL; ESMI, ESTEVAO; DE BARROS, LAECIO CARVALHO; MIEBACH, ALESSANDRO DONADIO; CECCONELLO, MOISEIS DOS SANTOS. Goodwin economic cycle via p-fuzzy system. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v. 38, n. 4, p. 12-pg., 2020-01-01. (16/26040-7, 18/10946-2)

ESMI, E.; FLORINDO, J. B.; PEREZ, F.; BARBEITOS, M.; LIU, J; LU, J; XU, Y; MARTINEZ, L; KERRE, EE. An approach to recognize coral species on the coast of Brazil using image analysis and fuzzy associative memories based on equivalent measures. DATA SCIENCE AND KNOWLEDGE ENGINEERING FOR SENSING DECISION SUPPORT, v. 11, p. 8-pg., 2018-01-01. (16/26040-7, 16/16060-0)

SANCHEZ, DANIEL EDUARDO; DE BARROS, LAECIO CARVALHO; ESMI, ESTEVAO. On interactive fuzzy boundary value problems. FUZZY SETS AND SYSTEMS, v. 358, p. 84-96, MAR 1 2019. (16/26040-7)

ESMI, ESTEVAO; SANCHEZ, DANIEL EDUARDO; WASQUES, VINICIUS FRANCISCO; DE BARROS, LAECIO CARVALHO. Solutions of higher order linear fuzzy differential equations with interactive fuzzy values. FUZZY SETS AND SYSTEMS, v. 419, n. SI, p. 122-140, AUG 30 2021. (16/26040-7)

SANCHEZ IBANEZ, DANIEL; ESMI, ESTEVAO; BARROS, LAECIO C.; IEEE. Linear Ordinary Differential Equations with Linearly Correlated Boundary Values. 2018 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), v. N/A, p. 6-pg., 2018-01-01. (16/26040-7)

SANCHEZ, D.; BARROS, L. C.; ESMI, E.; MIEBACH, A. D.; LIU, J; LU, J; XU, Y; MARTINEZ, L; KERRE, EE. Goodwin model via p-fuzzy system. DATA SCIENCE AND KNOWLEDGE ENGINEERING FOR SENSING DECISION SUPPORT, v. 11, p. 8-pg., 2018-01-01. (16/26040-7)

SUSSNER, PETER; ESMI, ESTEVAO; JARDIM, LUIS GUSTAVO; KEARFOTT, RB; BATYRSHIN, I; REFORMAT, M; CEBERIO, M; KREINOVICH, V. A Subsethod Interval Associative Memory with Competitive Learning. FUZZY TECHNIQUES: THEORY AND APPLICATIONS, v. 1000, p. 12-pg., 2019-01-01. (18/13657-1, 16/26040-7)

ESMI, ESTEVAO; DE BARROS, LAECIO CARVALHO; WASQUES, VINICIUS FRANCISCO; KEARFOTT, RB; BATYRSHIN, I; REFORMAT, M; CEBERIO, M; KREINOVICH, V. Some Notes on the Addition of Interactive Fuzzy Numbers. FUZZY TECHNIQUES: THEORY AND APPLICATIONS, v. 1000, p. 12-pg., 2019-01-01. (16/26040-7)

BISCAIA PINTO, NILMARA J.; ESMI, ESTEVAO; WASQUES, VINICIUS FRANCISCO; BARROS, LAECIO C.; KEARFOTT, RB; BATYRSHIN, I; REFORMAT, M; CEBERIO, M; KREINOVICH, V. Least Square Method with Quasi Linearly Interactive Fuzzy Data: Fitting an HIV Dataset. FUZZY TECHNIQUES: THEORY AND APPLICATIONS, v. 1000, p. 13-pg., 2019-01-01. (16/26040-7)

EDUARDO SANCHEZ, DANIEL; ESMI, ESTEVAO; DE BARROS, LAECIO CARVALHO; MIEBACH, ALESSANDRO DONADIO; CECCONELLO, MOISEIS DOS SANTOS. Goodwin economic cycle via p -fuzzy system. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v. 38, n. 4, SI, p. 4079-4090, 2020. (16/26040-7, 18/10946-2)

D. SÁNCHEZ; L.T. BASSANI; L.C. BARROS; E. ESMI. Adapted Fuzzy Integral: An Application in the Finite Element Method. TEMA (São Carlos), v. 19, n. 1, p. 147-160, 2018-01-00. (16/26040-7)

WASQUES, VINICIUS F.; PINTO, NILMARA J. B.; ESMI, ESTEVAO; DE BARROS, LAECIO CARVALHO; BEDE, B; CEBERIO, M; DECOCK, M; KREINOVICH, V. Consistence of Interactive Fuzzy Initial Conditions. FUZZY INFORMATION PROCESSING 2020, v. 1337, p. 13-pg., 2022-01-01. (16/26040-7)

BISCAIA PINTO, NILMARA DE JESUS; ESMI, ESTEVAO; DE BARROS, LAECIO CARVALHO; BEDE, B; CEBERIO, M; DECOCK, M; KREINOVICH, V. Carbon Emissions Trading as a Constraint in a Fuzzy Optimization Problem. FUZZY INFORMATION PROCESSING 2020, v. 1337, p. 12-pg., 2022-01-01. (16/26040-7)

WASQUES, VINICIUS F.; ESMI, ESTEVAO; BARROS, LAECIO C.; SUSSNER, PETER. Numerical Solution for Fuzzy Initial Value Problems via Interactive Arithmetic: Application to Chemical Reactions. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, v. 13, n. 1, p. 1517-1529, 2020. (16/26040-7, 18/13657-1)

WASQUES, VINICIUS FRANCISCO; LAUREANO, ESTEVAO ESMI; DE BARROS, LAECIO CARVALHO; PEDRO, FRANCIELLE SANTO; SUSSNER, PETER; IEEE. Higher Order Initial Value Problem with Interactive Fuzzy Conditions. 2018 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), v. N/A, p. 8-pg., 2018-01-01. (16/26040-7)

SALGADO, S. A. B.; BARROS, L. C.; ESMI, E.; LIU, J; LU, J; XU, Y; MARTINEZ, L; KERRE, EE. Solution of a fuzzy differential equation with interactivity via fuzzy Laplace transform. DATA SCIENCE AND KNOWLEDGE ENGINEERING FOR SENSING DECISION SUPPORT, v. 11, p. 6-pg., 2018-01-01. (16/26040-7)

WASQUES, VINICIUS FRANCISCO; ESMI, ESTEVAO; BARROS, LAECIO C.; BEDE, BARNABAS; KEARFOTT, RB; BATYRSHIN, I; REFORMAT, M; CEBERIO, M; KREINOVICH, V. Comparison Between Numerical Solutions of Fuzzy Initial-Value Problems via Interactive and Standard Arithmetics. FUZZY TECHNIQUES: THEORY AND APPLICATIONS, v. 1000, p. 12-pg., 2019-01-01. (16/26040-7)

LAIATE, BEATRIZ; JAFELICE, ROSANA M.; ESMI, ESTEVAO; BARROS, LAECIO C.; KEARFOTT, RB; BATYRSHIN, I; REFORMAT, M; CEBERIO, M; KREINOVICH, V. An Interpretation of the Fuzzy Measure Associated with Choquet Calculus for a HIV Transference Model. FUZZY TECHNIQUES: THEORY AND APPLICATIONS, v. 1000, p. 12-pg., 2019-01-01. (16/26040-7)

WASQUES, VINICIUS F.; ESMI, ESTEVAO; BARROS, LAECIO C.; SUSSNER, P.; NOVAK, V; MARIK, V; STEPNICKA, M; NAVARA, M; HURTIK, P. Numerical Solution for Lotka-Volterra Model of Oscillating Chemical Reactions with Interactive Fuzzy Initial Conditions. PROCEEDINGS OF THE 11TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT 2019), v. 1, p. 6-pg., 2019-01-01. (18/13657-1, 16/26040-7)

LONGO, FELIPE; LAIATE, BEATRIZ; SANTO PEDRO, FRANCIELLE; ESMI, ESTEVAO; BARROS, LAECIO C.; MEYER, JOAO F. C. A.; RAYZ, J; RASKIN, V; DICK, S; KREINOVICH, V. A-Cross Product for Autocorrelated Fuzzy Processes: The Hutchinson Equation. EXPLAINABLE AI AND OTHER APPLICATIONS OF FUZZY TECHNIQUES, NAFIPS 2021, v. 258, p. 12-pg., 2022-01-01. (16/26040-7)

LAIATE, BEATRIZ; ESMI, ESTEVAO; SANTO PEDRO, FRANCIELLE; BARROS, LAECIO C.; RAYZ, J; RASKIN, V; DICK, S; KREINOVICH, V. Solutions of Systems of Linear Fuzzy Differential Equations for a Special Class of Fuzzy Processes. EXPLAINABLE AI AND OTHER APPLICATIONS OF FUZZY TECHNIQUES, NAFIPS 2021, v. 258, p. 12-pg., 2022-01-01. (16/26040-7)

ESMI, ESTEVAO; DE BARROS, LAECIO CARVALHO; SANTO PEDRO, FRANCIELLE; LAIATE, BEATRIZ. Banach spaces generated by strongly linearly independent fuzzy numbers. FUZZY SETS AND SYSTEMS, v. 417, p. 20-pg., 2021-06-01. (16/26040-7)

DE BARROS, LAECIO CARVALHO; EDUARDO SANCHEZ, DANIEL; LOBO, RODOLFO ANIBAL; ESMI, ESTEVAO; NOVAK, V; MARIK, V; STEPNICKA, M; NAVARA, M; HURTIK, P. Free Mechanical Vibrations Models via p-fuzzy Systems. PROCEEDINGS OF THE 11TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT 2019), v. 1, p. 7-pg., 2019-01-01. (18/10946-2, 16/26040-7)

WASQUES, VINICIUS F.; ESMI, ESTEVAO; BARROS, LAECIO C.; SUSSNER, PETER. The generalized fuzzy derivative is interactive. INFORMATION SCIENCES, v. 519, p. 93-109, MAY 2020. (18/13657-1, 16/26040-7)

PEDRO, FRANCIELLE SANTO; DE BARROS, LAECIO CARVALHO; ESMI, ESTEVAO. Population growth model via interactive fuzzy differential equation. INFORMATION SCIENCES, v. 481, p. 160-173, MAY 2019. (16/26040-7)

ESMI, ESTEVAO; PEDRO, FRANCIELLE SANTO; DE BARROS, LAECIO CARVALHO; LODWICK, WELDON. Frechet derivative for linearly correlated fuzzy function. INFORMATION SCIENCES, v. 435, p. 150-160, APR 2018. (16/26040-7)

PINTO, NILMARA J. B.; WASQUES, VINICIUS F.; ESMI, ESTEVAO; BARROS, LAECIO C.; BARRETO, GA; COELHO, R. Least Squares Method with Interactive Fuzzy Coefficient: Application on Longitudinal Data. FUZZY INFORMATION PROCESSING, NAFIPS 2018, v. 831, p. 12-pg., 2018-01-01. (16/26040-7)

SANCHEZ, DANIEL EDUARDO; ESMI, ESTEVAO; DE BARROS, LAECIO CARVALHO; KEARFOTT, RB; BATYRSHIN, I; REFORMAT, M; CEBERIO, M; KREINOVICH, V. Discrete and Continuous Logistic p-Fuzzy Models. FUZZY TECHNIQUES: THEORY AND APPLICATIONS, v. 1000, p. 11-pg., 2019-01-01. (16/26040-7, 18/10946-2)

WASQUES, VINICIUS F.; ESMI, ESTEVAO; DE BARROS, LAECIO CARVALHO; SANTO PEDRO, FRANCIELLE; BEDE, B; CEBERIO, M; DECOCK, M; KREINOVICH, V. Numerical Solution for Reversible Chemical Reaction Models with Interactive Fuzzy Initial Conditions. FUZZY INFORMATION PROCESSING 2020, v. 1337, p. 12-pg., 2022-01-01. (16/26040-7)