Towards the theory of fuzzy differential equations

Vorobiev, Dmitri; Seikkala, Seppo

doi:10.1016/s0165-0114(00)00131-7

Cited by 66 publications

(17 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…and on the other hand, manipulations with level sets are simpler, the following wellknown result, known in the literature as Nguyen's Theorem (See, [16][17][18]) is useful. A necessary and sufficient condition for…”

Section: Fuzzy Methods For Econometric Causal Inferencementioning

confidence: 99%

On Fuzzy Theory for Econometrics

Nguyen¹,

Sriboonchitta

2015

Fifty Years of Fuzzy Logic and Its Applications

View full text Add to dashboard Cite

This paper aims mainly at informing statisticians and econometricians of relevant concepts and methods in fuzzy theory that are useful in addressing economic problems. We emphasize three recent significant contributions of fuzzy theory to economics, namely fuzzy games for capital risk allocations, fuzzy rule bases and compositional rule of inference for causal inference, and a statistical setting for fuzzy data based on continuous lattices.

show abstract

Section: Fuzzy Methods For Econometric Causal Inferencementioning

confidence: 99%

On Fuzzy Theory for Econometrics

Nguyen¹,

Sriboonchitta

2015

Fifty Years of Fuzzy Logic and Its Applications

View full text Add to dashboard Cite

show abstract

“…Particulary, the study of fuzzy differential equation forms a suitable setting for mathematical modeling of real world problems in which uncertainties or vagueness pervade. In fact, fuzzy differential equations is a very important topic from theoretical point of view [5], [6], [7], [9] and also it has applications, for example, in population models [4], civil engineering [8], medicine [1], [2].…”

Section: Introductionmentioning

confidence: 99%

On Solution of Two-Point Fuzzy Boundary Value Problems

Gültekin

Altınışık

2014

BSMaSS

View full text Add to dashboard Cite

show abstract

“…The applications of fuzzy set theory can be found in many branches of regional, physical, mathematical, differential equations, and engineering sciences. Recently there have been new advances in the theory of fuzzy differential equations [34][35][36][37][38][39][40][41][42][43][44][45][46][47] and inclusions [48][49][50][51][52][53] as well as in the theory of control fuzzy differential equations [54][55][56][57] and inclusions [57][58][59].…”

Section: Introductionmentioning

confidence: 99%