Journal of Intelligent & Fuzzy Systems - Volume 33, issue 4

Authors: Soni, Hardik N. | Sarkar, Biswajit | Joshi, Manisha

Article Type: Research Article

Abstract: This paper presents a continuous review inventory model with backorders and lost sales with fuzzy demand and learning considerations. The imprecision in demand is characterized by triangular fuzzy numbers. The triangular fuzzy numbers, counts upon lead time, are used to construct fuzzy lead time demand. It is assumed that the imprecision captured by these fuzzy numbers reduce with time because of learning effect. This implies that the decision maker gathers information about the inventory system and builds up knowledge from the previous shipments. Learning process occurs in setting and estimating the fuzzy parameters to reduce errors and costs. Under these …considerations, the proposed model offers a policy and a solution algorithm to calculate the number of orders and reorder level such that the total annual cost attains a minimum value. The results of the proposed model are compared with the continuous review inventory system with fuzzy demand with or without learning effect. It is shown that learning effect in fuzziness reduces the ambiguity associated with the decision making process. Finally, numerical examples are provided to illustrate the importance of using learning in fuzzy model. The convexity of the total cost function is also proved. Show more

Keywords: Uncertainty, continuous review inventory model, possibilistic mean value, learning in fuzziness

DOI: 10.3233/JIFS-16372

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 4, pp. 2595-2608, 2017

Authors: Wang, Fengxiao

Article Type: Research Article

Abstract: In this paper, the concepts of interval-valued fuzzy ideals in B-algebras are introduced and investigated some of their properties. The homomorphic inverse image of interval-valued intuitionistic fuzzy ideals are studied. The intersection and Cartesian product of interval-valued fuzzy ideals in B-algebras are discussed.

Keywords: B-algebra, interval-valued fuzzy ideals, homomorphic image, intersection

DOI: 10.3233/JIFS-17053

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 4, pp. 2609-2615, 2017

Authors: Guo, Xiaobin | Han, Yanlong

Article Type: Research Article

Abstract: The paper considers the general dual fuzzy matrix equation A X ˜ + B ˜ = C X ˜ + D ˜ in a complete matrix method. We firstly introduce the fuzzy matrix and its operation with crisp number. Then we convert the dual fuzzy matrix equation to a model which is a crisp function matrix equation. The fuzzy approximate solution of dual fuzzy matrix equation is obtained by solving the model. The existence condition of the strong fuzzy solution is also discussed. In addition, we investigate the LR dual fuzzy …matrix equation by the same way. Finally, some examples are given to illustrate our proposed method. Show more

Keywords: Fuzzy numbers, fuzzy numbers matrix, dual fuzzy matrix equations, fuzzy approximate solutions

DOI: 10.3233/JIFS-17072

Citation: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 4, pp. 2617-2629, 2017