A Model for Uncertain Multi-objective Transportation Problem with Fractional Objectives

Fractional programming problems take into account the situations where the decision maker is interested to maximize or minimize the ratios of some functions rather than a simple function. Fractional programming modeling approach has a lot of scope in dealing with the transportation planning decision problems. This paper presents a model for transportation problem with multiple fractional objectives involving uncertain parameters. In order to make the model more realistic, we have considered the case when there exists more than one fractional objective. All the parameters involved in the proposed model viz. objective function coefficients, availabilities and demands are assumed to be uncertain. Moreover, an equivalent deterministic model is also presented. Fuzzy goal programming approach is discussed as the solution approach for reaching the compromise solution. A numerical example is also given to illustrate the model more clearly

Fuzzy simulation of forest road surface parameters

The problem of construction of forest roads with the use of local low-strength substandard materials and industrial waste is considered. To solve the problem, the primary task is to develop a method for estimating the parameters of road surfaces taking into account the conditions of uncertainties in the data. This technique allows us to reasonably clarify some of the regulatory parameters and improve the technology of construction of forest roads, which was the goal of the work. To formalize the task, experimental studies were performed and on the basis of these results, the statement of the task of fuzzy derivation of the function for estimating the bearing capacity of the coating was performed. The synthesis of the output function is performed by means of Matlab. © 2019 IOP Publishing Ltd. All rights reserved

Approximate Membership Function Shapes of Solutions to Intuitionistic Fuzzy Transportation Problems

In this paper, proposing a mathematical model with disjunctive constraint system, and providing approximate membership function shapes to the optimal values of the decision variables, we improve the solution approach to transportation problems with trapezoidal fuzzy parameters. We further extend the approach to solving transportation problems with intuitionistic fuzzy parameters; and compare the membership function shapes of the fuzzy solutions obtained by our approach to the fuzzy solutions to full fuzzy transportation problems yielded by approaches found in the literature

An Efficient Algorithm for Fuzzy Linear Fractional Programming Problems via Ranking Function

في العديد من التطبيقات مثل الإنتاج ، يعد التخطيط لصانع القرار أمرًا مهمًا في تحسين دالة الهدف الضبابية للمسالة  حيث تحتوي على نسبة دالتين ضبابيتين ، والتي يمكن ان تسلم باستخدام تقنية مسالة البرمجة الكسرية الضبابية  . يتم النظر في فئة خاصة من تقنية التحسين تسمى مسالة البرمجة الكسرية الضبابية في هذا العمل عندما تكون معاملات دالة الهدف للمسالة ضبابية. تم اقتراح دالة الترتيب الجديدة واستخدامها لتحويل بيانات مسالة البرمجة الكسرية الضبابية من رقم غامض إلى رقم واضح بحيث يمكن تجنب العيب عند معالجة المسالة الضبابية الأصلية. هنا يتم اعتماد نهج وظيفة الترتيب الجديدة للأرقام الضبابية العادية لترتيب الأرقام الضبابية المثلثية مع حسابات أبسط وأسهل بالإضافة إلى تقصيرها في الإجراءات. يتم تقليل مشكلة البرمجة الكسرية الضبابية أولاً إلى مشكلة البرمجة الكسرية ثم حلها باستخدام التقنية للحصول على الحل الأمثل. لديها القدرة على إعطاء أفضل حل لدعم نظرية الحل المقترحة في هذا العمل ، يتم تضمين بعض مسائل البرمجة الكسرية الضبابية لضمان ميزة وكفاءة ودقة الخوارزمية المقترحة. بالإضافة إلى ذلك ، تصف هذه الورقة البحثية مقارنة بين حلولنا المثالية مع الحلول الأخرى القائمة لعدم المساواة للقيود في مسائل البرمجة الكسرية الضبابية.In many applications such as production, planning, the decision maker is important in optimizing an objective function that has fuzzy ratio two functions which can be handed using fuzzy fractional programming problem technique. A special class of optimization technique named fuzzy fractional programming problem is considered in this work when the coefficients of objective function are fuzzy. New ranking function is proposed and used to convert the data of the fuzzy fractional programming problem from fuzzy number to crisp number so that the shortcoming when treating the original fuzzy problem can be avoided. Here a novel ranking function approach of ordinary fuzzy numbers is adopted for ranking of triangular fuzzy numbers with simpler and easier calculations as well as shortening in the procedures. The fuzzy fractional programming problem is the first reduced to a fractional programming problem and then solved with the technique to obtain the optimal solution. It has a power to give a best solution for supporting the solution theory proposed in this work, some numerical fuzzy fractional programming problem are included to ensure the advantage, efficiency and accuracy of the suggested algorithm. In addition, this research paper describes a comparison between our optimal solutions with other existing solutions for inequalities constrains fuzzy fractional program