Both Takagi–Sugeno (TS) and Mamdani fuzzy systems are known to be universal approximators. In this paper, we investigate whether one type of the fuzzy approximators is more economical than the other type. The TS fuzzy systems in this study are the typical two-input single-output TS fuzzy systems: they employ trapezoidal or triangular input fuzzy sets, arbitrary fuzzy rules with linear rule cons...

In this paper, we consider fuzzy inventory with backorder. First, we fuzzify the storing cost a, backorder cost b, cost of placing an order c, total demand r, order quantity q, and shortage quantity s as the triangular fuzzy numbers in the total cost. From these, we can obtain the fuzzy total cost. Using the signed distance method to defuzzify, we get the estimate of the total cost in the fuzzy...

The main contribution of this paper is to introduce an autonomous definition of the connective “fuzzy exclusive or” (fuzzy Xor, for short), which is independent from others connectives. Also, two canonical definitions of the connective Xor are obtained from the composition of fuzzy connectives, and based on the commutative and associative properties related to the notions of triangular norms, t...

In this paper, fuzzy weighted approach is used to solve the multi-criteria decision making problem in a Web server system. The assessments of Web server by Web administrators are assigned using linguistic terms. The overall assessments of alternatives, with respect to every criteria, are allowed by different weights using a symmetrical triangular fuzzy number with fixed interval confidence. Web...

This article provides an effective method to analyze the performance measures of non-preemptive fuzzy priority queues with unequal service rates. Here arrival rate and are in numbers. Using a new ranking method, values reduced crisp values. For that cause, both Triangular Fuzzy Number (TFN) Trapezoidal (TpFN) chosen establish proposal's effectiveness. An illustration is given find efficiency qu...

In uncertainty decision making, experts can use interval-fuzzy number, triangular fuzzy number, trapezoidal fuzzy number, linguistic 2tuple or linguistic indices to express their preferences. Using kernel function, the fuzzy numbers can be converted into fuzzy number range from 0 to 1. Thus, different fuzzy judgment matrix can be expressed in a unified style. A judging method for ordinal consis...

We find necessary and sufficient conditions for a ranking index defined on the set of triangular fuzzy numbers as a linear combination of its components to rank effectively. Then, based on this result, we characterize the class of ranking indices which generates orderings on triangular fuzzy numbers satisfying the basic requirements by Wang and Kerre in a slightly modified form.

This paper presents new results concerning the effective practical computation of the membership function of the infinite sum (defined via the supHamacher-norm convolution) of triangular fuzzy numbers. Namely, we shall calculate the limit distribution of the Hγ-sum ã1 ⊕ ã2 ⊕ · · · ⊕ ãn ⊕ · · · of triangular fuzzy numbers ãi, i ∈ N, for γ = 0, 1, 2.

Proving  fixed point theorem in a fuzzy metric space is not possible for  Meir-Keeler contractive mapping. For this, we introduce the notion of $c_0$-triangular fuzzy metric space. This new space allows us to prove some fixed point theorems for  Meir-Keeler contractive mapping. As some pattern we introduce the class of $alphaDelta$-Meir-Keeler contractive and we establish some results of fixed ...