JAEM 2024, Vol 14, No 4

Fuzzy ideals in matrix nearrings

2024-10-01T00:00:00Z

Fuzzy ideals in matrix nearrings Paruchuri, Venu Gopala Rao; Satyanarayana, Bhavanari; Salvankar, Rajani; Harikrishnan, Panackal; Kuncham, Syam Prasad We introduce fuzzy ideal of a matrix nearring corresponding to a fuzzy ideal of a nearring. We prove properties relating to fuzzy ideals of a nearring and that of a matrix nearring. Finally, prove an order preserving one-one correspondence between the fuzzy ideals of R (over itself) and that of Mn(R)-group Rⁿ.

Reverse sharp and left-T right-T partial ordering on intuitionistic fuzzy matrices

2024-10-01T00:00:00Z

Reverse sharp and left-T right-T partial ordering on intuitionistic fuzzy matrices Punithavalli, G.; Anandhkumar, Mani In this paper, we introduce the concept of reverse sharp ordering on Intuitionistic Fuzzy matrix (IFM) as a special case of minus ordering. We also introduce the concept of reverse left-T and right-T orderings for IFM as an analogue of left-star and right-star partial orderings for complex matrices. Several properties of these ordering are derived. We show that these ordering preserve its Moore-penrose inverse property. Finally, we show that these ordering are identical for certain class of IFM.

Mapping properties of holomorphic function associated with Gaussian hypergeometric function

2024-10-01T00:00:00Z

Mapping properties of holomorphic function associated with Gaussian hypergeometric function Yadav, Pradnyavati Prabhakar; Joshi, Santosh Bhaurao; Pawar, Haridas Hanmant This paper aims to present the associated results of holomorphic function J(z) := Jµ,δ(p, q; r; z) defined on open unit disc U = {z ∈ C : |z| < 1}, belongs to ϕ* (A, B) and K(A, B). This work also consider an integral operator I(z) associated with the hypergeometric functions and identified the necessary and sufficient condition for I(z) belongs to ϕ* (A, B) as well as K(A, B).

Optimal (r, Q) models considering inventory shrinkage

2024-10-01T00:00:00Z

Optimal (r, Q) models considering inventory shrinkage Tütüncü, G. Yazgı; Zhang, Linda Lianfeng; Yüce, Gizem Although inventory shrinkage negatively affects firms’ operations decisions in nearly every type of industry, it is generally ignored in practice. Most of the available mathematical models are not considering inventory shrinkage caused by lost or misplaced inventory items, because of the mathematical complexity. Therefore, we develop new (r, Q) models addressing shrinkage. Besides misplaced items, we consider perished or lost items, which are common in the retail industry. We further propose an algorithm to solve the models developed. To demonstrate the applicability of our models and solution algorithm, we assume normal and exponential demand distributions. We show that total inventory costs obtained using our models are significantly lower than those from available models, which does not consider misplaced items and the sensitivity analysis leads us to several managerial implications.