In this paper, the researchers present a multi-objective linear fractional inventory model using fuzzy pro-gramming. The proposed method in this paper is applied to a problem with two objective functions. The re-sulted fuzzy model is transformed into an ordinary linear programming. The implementation of the develop-ing model presented in this paper is demonstrated through the use of some numeri...

In this paper we propose a Fully Polynomial Time Approximation Scheme (FPTAS) for a class of optimization problems where the feasible region is a polyhedral one and the objective function is the sum or product of linear ratio functions. The class includes the well known ones of Linear (Sum-of-Ratios) Fractional Programming and Multiplicative Programming.

In this note we point out various errors in the paper by Rashmi Gupta and R. R. Saxena, Set packing problem with linear fractional objective function, International Journal of Mathematics and Computer Applications Research (IJMCAR), 4 (2014) 9 18. We also provide some additional results.

In this paper, we study a particular type of convex fractional programming problem and its dual under fuzzy environment. We present appropriate duality results for a fuzzy environment using aspiration level approach. This study use linear membership functions to represent fulfillment of the decision maker’s degree of satisfaction.

Preservation of local similarity structure is a key challenge in deep clustering. Many recent clustering methods therefore use autoencoders to help guide the model's neural network towards an embedding which more reflective input space geometry. However, work has shown that autoencoder-based models can suffer from objective function mismatch (OFM). In order improve preservation structure, while...

The external description of a system [A,B,C,D] is given by its transfer function W(h). Classically in designing a system with given transfer function the key step is to express W(h) as a linear functional combination of simpler functions. Naturally such a decomposition of a transfer function must correspond to some type of decomposition of the system [A,B,C,D] into smaller subsystems. In this a...

We prove that every subcubic triangle-free graph has fractional chromatic number at most 14/5, thus confirming a conjecture of Heckman and Thomas [A new proof of the independence ratio of triangle-free cubic graphs. Discrete Math. 233 (2001), 233–237].

This paper presents a fuzzy goal programming FGP procedure for solving bilevel multiobjective linear fractional programming BL-MOLFP problems. It makes an extension work of Moitra and Pal 2002 and Pal et al. 2003 . In the proposed procedure, the membership functions for the defined fuzzy goals of the decision makers DMs objective functions at both levels as well as the membership functions for ...

The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function introduce $τ$-Gauss hypergeometric and $τ$-confluent functions with some their properties, such as Laplace-type Euler-type integral formulas. Another apply them fractional kinetic equations that appear in astrophysics physics using Laplace transform method.

A new wavelet transform (WT) is introduced based on the fractional properties of the traditional Fourier transform. The new wavelet follows from the fractional Fourier order which uniquely identifies the representation of an input function in a fractional domain. It exploits the combined advantages of WT and fractional Fourier transform (FrFT). The transform permits the identification of a tran...