Both seasonal demand r and total demand R in the production inventory model are difficult to estimate precisely to actual r0 and R0 values, respectively. Hence, we will set the membership grade at r0 and R0 in an interval [λ, 1], 0 < λ < 1, and then, obtain the interval-valued fuzzy sets r̃ and R̃, respectively. For each production quantity period q, we can obtain the fuzzy total cost Gq ( r̃, R̃ )...

This paper deals with a broad question—to what extent is topology algebraic—using two specific questions: (1) what are the algebraic conditions on the underlying membership lattices which insure that categories for topology and fuzzy topology are indeed topological categories; and (2) what are the algebraic conditions which insure that algebraic theories in the sense of Manes are a foundation f...

Deterioration cannot be avoided in business scenarios. Deterioration is defined as change, damage, decay, spoilage obsolescence and loss of utility or loss of original value in a commodity that results in the decreasing usefulness from the original one product. Normally inventory models of deteriorating items, such as food products, vegetables, etc. involve imprecise parameters, like imprecise ...

inventory control problem is one of the problems in decision making and management that contains non-crisp parameters in real world. economic production quantity (epq) model in fuzzy environment has been studied so far by many researchers. one of the main assumptions in all previous researches was neglecting the inventory shortage. in this research, a new multi-item epq model with fuzzy random ...

Inventory control is an important field in supply chain management, and a great deal of research efforts have been devoted to it over past few decades. In previous researches, there are some assumptions like that the lead time is an incontrollable variable, and all the items replenished are of perfect quality, and so on. However, those assumptions may not be fit for the real environments, and t...

using the mathematic techniques such as fuzzy approach has useful outcomes for production planning in different sources. in this paper lgp1 was used to model the objectives such as: avoidance of shortage or surplus of demand, access to maximum of income, using the normal capacity of production and organizing the inventory of warehouse, within the framework of goal constraints like balancing be...

Abstract -In this paper, we developed a fuzzy optimal replenishment policy for Inventory models of Weibull Deterioration items with Ramp type Demand under permissible delay in payments. Deterioration of items begins on their arrival in stock. The shortages are allowed and partially backlogged. All the inventory costs involved in this model are taken as triangular fuzzy numbers. Replenishment cy...

In this paper, a fuzzy mathematical programming model is proposed to address integrated production and routing planning decisions which considers uncertain production and inventory capacities, as well as production, setup, inventory holding and transport costs. This proposal considers flexible constraints and the lack of knowledge related to the previous input parameters which are modelled by u...

Looking through the inventory models with deteriorating items shows that the deterioration rate is considered constant in most of the previous researches. But,in the real world, deterioration rate is not actually constant and slightly disturbed from its original crisp value. In this paper a more realistic inventory model with fuzzy deterioration and fully backlogged shortage under inflation is ...

In this paper, a multi-item inventory model with space constraint is developed in both crisp and fuzzy environment. A profit maximization inventory model is proposed here to determine the optimal values of demands and order levels of a product. Selling price and unit price are assumed to be demand-dependent and holding and set-up costs sock dependent. Total profit and warehouse space are consid...