In crisp production inventory problem, let q, a, b, d, R and r be the quantity produced per cycle, the holding cost, production cost, production quantity per day, the total demand quantity and the demand quantity per day, respectively. We consider three fuzzification methods. Firstly, we fuzzify q, a, b, d, R and r to triangular fuzzy numbers. Secondly, we fuzzify d and r to triangular fuzzy nu...

it is firstly proved that the multi-input-single-output (miso) fuzzy systems based on interval-valued $r$- and $s$-implications can approximate any continuous function defined on a compact set to arbitrary accuracy.  a formula to compute the lower upper bounds on the number  of interval-valued fuzzy sets needed to achieve a pre-specified approximation  accuracy for an arbitrary multivariate con...

We give new sharp bounds for the number of generators for fuzzy ideals The pioneering works of Zadeh and Rosenfeld led to the fuzzi cation of algebraic structures Liu introduced and examined the notion of a fuzzy ideal of a ring Malik and Mordeson have been studying properties of fuzzy ideals see for example and The concept of minimal generating systems for fuzzy ideals was introduced in It has...

In this article we introduce and investigate the notion of ∆(r)-null, ∆(r)-convergent and ∆(r)-bounded sequences of fuzzy numbers which generalize the notion of null, convergent and bounded sequence of fuzzy numbers. 2000 Mathematics Subject Classification: 40A05, 40D25.