scholarly journals Analyzing The Concept Of Graded K-Preference Integration Representation Method

2021 ◽  
Vol 12 (5) ◽  
pp. 866-869
Author(s):  
Anant Tiwari, Dr. Amit Kumar Vats
Keyword(s):  
Integration Method ◽  
Decision Making Process ◽  
Linguistic Variables ◽  
Optimal Solutions ◽  
Order Quantity ◽  
Inventory Models ◽  
Fuzzy Environment ◽  
Representation Method ◽  
Fuzzy Order ◽  
Fuzzy Inventory

Generally, the fuzzy set concept could be used to deal with the problems with the qualities of ambiguity as well as vagueness. In the decision making process, the reference comparisons for criteria & options tend to be more appropriate to make use of the linguistic variables rather than crisp values in some instances. Meanwhile, the GMIR technique is utilized for the constrained trouble construction to derive the weights of options & criteria, which accomplishes the extension of fuzzy environment. Here in this paper we will study about some basic terms related to K-preference Graded Integration method. We will discuss the fuzzy inventory models under decision maker’s preference (k-preference), and find the optimal solutions of these models, the optimal crisp order quantity or the optimal fuzzy order quantity.

Fuzzy inventory without backorder for fuzzy order quantity and fuzzy total demand quantity

2000 ◽  
Vol 27 (10) ◽  
pp. 935-962 ◽  
Author(s):  
Jing-Shing Yao ◽  
San-Chyi Chang ◽  
Jin-Shieh Su
Keyword(s):  
Order Quantity ◽  
Fuzzy Order ◽  
Fuzzy Inventory

LINGUISTIC INVENTORY PROBLEMS

2011 ◽  
Vol 07 (01) ◽  
pp. 1-49 ◽  
Author(s):  
CHIH HSUN HSIEH
Keyword(s):  
Natural Language ◽  
Decision Maker ◽  
Linguistic Variables ◽  
Inventory Models ◽  
Real Numbers ◽  
Inventory Cost ◽  
Production Inventory ◽  
Total Inventory ◽  
Representation Method ◽  
Linguistic Demand

The work presented in this paper has been motivated primarily by Zadeh's idea of linguistic variables intended to provide rigorous mathematical modeling of natural language and CWW, Computing With Words. This paper reports some modeling of the linguistic inventory problems where CWW have been implemented: linguistic production inventory, linguistic inventory models under linguistic demand and linguistic lead time, linguistic production inventory models based on the preference of a decision maker, and linguistic inventory model for fuzzy reorder point and fuzzy safety stock. Only studies that focus on CWW, two linguistic inventory models and two linguistic backorder inventory models, which each model is combined by the heuristic fuzzy total inventory cost based on the preference of a decision maker, are proposed in this paper. The heuristic fuzzy total inventory cost of each model is modeled by linguistic values in natural language, fuzzy numbers, and crisp real numbers. It is also computed and defuzzified by using some fuzzy arithmetical operations by Function Principle and Graded k-preference integration representation method, respectively. In addition, Extension of the LaGrangean method is used for solving inequality constrain problem in the proposed linguistic inventory environments. Furthermore, we find that our heuristic optimal solutions of the new introduced modeling the linguistic inventory problems can also be specified to meet the classical inventory models, when all linguistic variables are crisp real numbers, such as the previous proposed linguistic inventory models.

Fuzzy inventory with backorder for fuzzy order quantity

1996 ◽  
Vol 93 (3-4) ◽  
pp. 283-319 ◽  
Author(s):  
Jing-Shing Yao ◽  
Huey-Ming Lee
Keyword(s):  
Order Quantity ◽  
Fuzzy Order ◽  
Fuzzy Inventory

An approach for supplier selection problem based on picture cubic fuzzy aggregation operators

2021 ◽  
Vol 40 (5) ◽  
pp. 10145-10162
Author(s):  
Ahmad Bakr Khoshaim ◽  
Muhammad Qiyas ◽  
Saleem Abdullah ◽  
Muhammad Naeem ◽  
Muneeza
Keyword(s):  
Supply Chain ◽  
Supply Chain Management ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Numerical Application ◽  
Chain Management ◽  
Fuzzy Environment ◽  
Picture Fuzzy Set ◽  
Fuzzy Aggregation ◽  
Fuzzy Order

This article is an advanced approach to picture fuzzy set through the application of cubic set theory. For instance, we establish the idea of the picture cubic fuzzy sets (PCFSs) theory and define several operations for PCFS. Also, presented some weighted aggregation operators under picture cubic fuzzy information, so called picture cubic fuzzy weighted averaging (PCFWA) operator, picture cubic fuzzy order weighted averaging (PCFOWA) operator, picture cubic fuzzy weighted geometric (PCFWG) operator, and picture cubic fuzzy order weighted geometric (PCFOWG) operator. Further, we study their fundamental properties and showed the relationship among these aggregation operators. In order to determine the feasibility and practicality of the mentioned new technique, we developed multi-attribute group decision -making algorithm with picture cubic fuzzy environment. Further, the developed method applied to supply chain management and for implementation, consider numerical application of supply chain management. Compared the developed approach with other preexisting aggregation operators, and we concluded that the defined technique is better, reliable and effective.

scholarly journals Retailer’s optimal ordering policies for EOQ model with imperfective items under a temporary discount

2016 ◽  
Vol 26 (2) ◽  
pp. 219-240
Author(s):  
Wen Lin ◽  
Horng Chang
Keyword(s):  
Economic Order Quantity ◽  
Order Quantity ◽  
Objective Functions ◽  
Inventory Models ◽  
Screening Process ◽  
Numerical Examples ◽  
Closed Form Solutions ◽  
Eoq Model ◽  
Optimal Ordering ◽  
Special Order

In this article, we study inventory models to determine the optimal special order and maximum saving cost of imperfective items when the supplier offers a temporary discount. The received items are not all perfect and the defectives can be screened out by the end of 100% screening process. Three models are considered according to the special order occurs at regular replenishment time, non-regular replenishment time, and screening time of economic order quantity cycle. Each model has two sub-cases to be discussed. In temporary discount problems, in general, there are integer operators in objective functions. We suggest theorems to find the closed-form solutions to these kinds of problems. Furthermore, numerical examples and sensitivity analysis are given to illustrate the results of the proposed properties and theorems.

scholarly journals Vendor-Buyers relationship model for deteriorating items with shortages, fuzzy trapezoidal costs and inflation

2013 ◽  
Vol 23 (1) ◽  
pp. 73-85 ◽  
Author(s):  
Chaman Singh ◽  
S.R. Singh
Keyword(s):  
Optimal Policy ◽  
Fuzzy Numbers ◽  
Deteriorating Items ◽  
Inventory Cost ◽  
Fuzzy Environment ◽  
Relationship Model ◽  
Present Worth ◽  
Total Inventory ◽  
Integrated Cost ◽  
Representation Method

In this paper, an integrated inventory model is developed from the perspective of a single vendor and multi-buyers for deteriorating items under fuzzy environment and inflation. In the development of the model, it is assumed that all costs parameters, demand and the production rates are imprecise in nature; they are represented by the trapezoidal fuzzy numbers, as these parameters are not constant and can be disturbed due to daily market changes. We use function principle as arithmetic operations to find the total inventory cost in fuzzy sense and Graded Mean - Integration Representation Method to defuzzify the fuzzy total inventory cost. Inflation is used to find the present worth of total cost. Since the optimal policy of buyers may not be the most economical for a vendor, thus to deal with this situation, integrated cost policy is used to reach the optimal policy. Finally, a numerical example is given to illustrate the model.

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