In this article, the crisp, fuzzy and intuitionistic fuzzy optimization problem is formulated. The
basic definitions and notations related to optimization problems are given in the …

Inverse optimization is one of the interesting areas in both fundamental and applied
research. This paper introduces a new approach, named as Khalifa, Kumar, and Mirjalili …

The transportation problem in real life is an uncertain problem with multi-objective decision-
making. In particular, by considering the conflicting objectives/criteria such as transportation …

Multimodal transport refers to the transportation of goods under a single contract but
performed with at least two different modes of transport. This research designs a new …

Uncertainty is unavoidable and addressing the same is inevitable. That everything is
available at our doorstep is due to a well-managed modern global supply chain, which takes …

This bibliography of fractional programming is a continuation of eight previous
bibliographies by the author (Pure Appl. Math. Sci.(India), Vol. XIII, No. 1–2, 35–69, March …

A multi-objective solid transportation problem that includes source, destination, and mode of
transport parameters may have fractional objective functions in real-life applications to …

Optimization processes in mathematics, computer science, and economics solve problems
effectively by selecting the best element from a set of available alternatives. One of the most …

In this paper, we study a special class of transportation problem with capacitated restrictions.
The formulated multi-objective capacitated transportation problem (MOCTP) has some of the …

The concept of breakable substitute items and budget constraints is to be used in decision-
making problems. For demonstration, a fixed charge multi-item four-dimensional …