We present several models to obtain simple parametric representations of the fuzzy numbers or intervals, based on the use of piecewise monotonic functions of different forms. The representations have the advantage of allowing flexible and easy to control shapes of the fuzzy numbers (we use the standard -cuts setting, but also the membership functions are obtained immediately) and can be used di...

This paper presents the main features of XFL3, a new language for fuzzy system specification, which has been defined as the starting point for the 3.0 version of our fuzzy system design environment, Xfuzzy [1]. Its main advantages with respect to its precursor, XFL [2], are its capability to admit user-defined membership functions, parametric operators, and linguistic hedges. Taking this langua...

in this paper, a fuzzy version of the analytic form of hahn-banachextension theorem is given. as application, the hahn-banach theorem for$r$-fuzzy bounded linear functionals on $r$-fuzzy normedlinear spaces is obtained.

An economic production quantity model with demand dependent unit production cost in fuzzy environment has been developed. Flexibility and reliability consideration are introduced in the production process. The models are developed under fuzzy goal and fuzzy restrictions on budgetary cost. The inventory related costs and other parameters are taken as fuzzy in nature. The problem is solved by par...

The paper investigates the robust control for uncertain Takagi–Sugeno (T–S) fuzzy systems with time-varying state and input delays. Delay-dependent stabilization criterion is proposed to guarantee the asymptotic stabilization of fuzzy systems with parametric uncertainties. The result of [Lee HJ, Park JB, Joo YH. Robust control for uncertain Takagi– Sugeno fuzzy systems with time-varying input d...

OBJECTIVE To examine spatial-temporal distribution and risk of suicide, as well as trends in suicide mortality rates, in the indigenous and non-indigenous population of the state of Mato Grosso do Sul, Brazil. METHODS Data were obtained from the Information Department of the Brazilian Unified Health System. Deaths recorded as voluntary self-inflicted injuries (ICD-10 codes X60.0 to X84.9) wer...

A new method of construction of exact solutions for partial differential equations PDE is proposed in this article. The classical authors in mathematics used change of variables for classification of linear PDE. However, they did not notice an important property of broad class of PDE, which was discovered in Volosov’s articles 1–4 . Literature reference 3 is available for review on http://eqwor...

based on credibilistic value-at-risk (cvar) of regularfuzzy variable, we introduce a new cvar reduction method fortype-2 fuzzy variables. the reduced fuzzy variables arecharacterized by parametric possibility distributions. we establishsome useful analytical expressions for mean values and secondorder moments of common reduced fuzzy variables. the convex properties of second order moments with ...

Through saccadic eye movements, the retinal projection of an extrafoveally glimpsed object can be brought into foveal vision quickly. We investigated what influence visual detail collected before the saccade exerts on the postsaccadic percept. Participants were instructed to saccade towards a peripheral stimulus, and to indicate on a continuum of ellipses with varying aspect ratios which exact ...