598 357
Full Length Article
Volume 1 , Issue 2, PP: 52-63 , 2020

Title

A Single Valued Neutrosophic Inventory Model with Neutrosophic Random Variable

Authors Names :   M. Mullai*, K. Sangeetha, R. Surya, G. Madhan kumar, R. Jeyabalan   1 *     S. Broumi   2  

1  Affiliation :  Department of Mathematics, Alagappa University, Karaikudia, India

    Email :  mullaim@alagappauniversity.ac.in, sangeekannan07@gmail.com, suryarrrm@gmail.com, madhan001kumar@gmail.com, jeyram84@gmail.com


2  Affiliation :  Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco

    Email :   s.broumi@flbenmsik.ma, broumisaid78@gmail.com



Doi   :  10.5281/zenodo.3679510


Abstract :

This paper presents the problematic period of neutrosophic inventory in an inaccurate and unsafe mixed environment. The purpose of this paper is to present demand as a neutrosophic random variable.  For this model, a new method is developed for determining the optimal sequence size in the presence of neutrosophic random variables.  Where to get optimality by gradually expressing the average value of integration. The newsvendor problem is used to describe the proposed model.

Keywords :

Neutrosophic set , Neutrosophic random variable , Triangle neutrosophic numbers , single period neutrosophic inventory

References :

[1]Atanassov. KT (1999).  Intuitionistic fuzzy sets. Pysica-Verlag A Springer-verlag company, New York.

[2]Buffa . E.S. and SarinR.K.. (1987).  Modern Production / Operations Management, John Wiley and  Sons, Asia Pte Ltd.

[3]ChakraborthyD. (2002). Redefining chance-constrained programming in fuzzy environment, Fuzzy Sets and Systems 125,327-333.

[4]Deli I, Simsek I, Cagman N (2015). A multiple criteria group decision making methods on single valued trapezoidal neutrosophic numbers based on Einstein operations. The 4th international fuzzy systems symposium (FUZZYSS’15). YildizTechnical University, Istanbul, Turkey.

[5]Deli I, Subas y. A ranking method of single valued neutrosophic numbers and itsapplication to multi-attribute decision making problems, MuallimRifat Faculty of education, 7 Arahk University,79000 killis, Turkey.

[6]FengY., Hu L.and ShuH. (2001). The variance and covariance of fuzzy random variables and their applicatios, Fuzzy Sets and Systems 120, 487-497.

[7] HadleyG. and WhitenT.M. (1963). Analysis of Inventory Systems, Prentice-Hall, Englewood Cliffs, NJ.

[8]Ishii H.and Konno T. (1998). A stochastic inventory problem with fuzzy shortage cost, European J. Operational Research 106, 90-94. 

[9]Kao C. and Hsu W.K.(2002).  A single-period inventory model with fuzzy demand, Computers Math. Applic. 43 (6/7), 841-848.   

[10]Kim Y.K and GhilB.M. (1997).Integrals of fuzzy number valued functions, Fuzzy Sets and Systems 86, 213-222.

[11]KwakernaakH. (1978). Fuzzy random variables: Definition and theorems, Information sciences15, 1-29.

[12]LiL., KabadiS.N. and Nair K.P.K. (2002). Fuzzy models for single-period inventory problem, Fuzzy Sets and System 132, 273-289.

[13]Lopez-Diaz . M.and Gil M.A.  (1998). The -average value of the expected value of a fuzzy random variable, Fuzzy random variable Fuzzy Sets and Systems 99, 347-391.

[14]Puri M.L. andRalescuD.A.  (1986).Fuzzy random variables, J. Mathematical Analysis and Applications 114, 409-422.

[15]Smarandache F.  (1998).  A unifying field in logics neutrosophy: neutrosophic probability, set and logic. American Research Press, Rehoboth.

[16]Subas Y. (2015).Neutrosophic numbers and their application to Multi-attribute decision making problems (in Turkish) (Masters Thesis, Kilis 7 Arahk university, Graduate School of Natural and Applied Science)

[17]Wang H, Smarandache F, Y, Zhang Q (2010). Single valued neutrosophic sets. MultispaceMultistructure 4:410-413.

[18]Zadeh L.A. (1965). Fuzzy Sets. Information Control 8:338-353.