APPLICATION OF NEUTROSOPHIC SOFT SET IN AGRICULTURE USING DECISION THOERY UNDER UNCERTAINITY

A. Monica Mary Ph.D Research Scholar, Providence College for Women, Coonoor, The Nilgiris - 643102, TamilNadu, India.
K. Karuppayi Assistant Professor, Department of Mathematics, Providence College for Women, Coonoor, The Nilgiris - 643102, TamilNadu, India.
K. Thanalakshmi Associate Professor, Department of Mathematics, Kamaraj College of Engineering and Technology SPGC Nagar, K.Vellakulam, Madurai - 625701, TamilNadu, India.

Abstract

Decision making is a challenging task under uncertain conditions. Mathematically several theories have been developed to aid in making crucial decisions. This paper uses the concept of Neutrosophic Soft Set to analyze food grains produced by a set of farmers. Neutrosophic Soft payoff matrices are framed based on evaluation report of experts. The farmer producing best quality food grains with maximum profit is identified by applying the techniques of Laplace criterion, Criterion of Optimism and Savage Criterion.

Keywords:

: Neutrosophic Soft Set,Uncertainty, Laplace Criterion, Criterion of Optimism and Savage Criterion.


Full Text:

PDF


References


[1] Cagman.N and Enginoglu.S, Soft Set- Theory and Uniting Decision Making, Journal of Fuzzy Mathematics, Vol.12(2004), pp.669-683. [2] Broumi.S, Deli.I, Smarandache.F, Interval valued Neutrosophic Parameterized Soft Set Theory and its decision making, Jouunal of New Results in Science, Vol.7 (2014),pp.58-71. [3] Florentine Smarandache, Neutrosophic set- A Generalization of the Intuitionistic fuzzy set, International Journal of Pure and Applied Mathematics, Vol.24, No.3 (2005), pp.287-297. [4] Haibin Wang, Florentine Smarandache, Yanquing Zhang, Rajshekhar Sunderraman,Single Valued Neutrosophic Sets, Technical Sciences and Applied Mathematics, (2012), pp.10-14 . [5] Irfan Deli and Said Broumi, Neutrosophic soft sets and Neutrosophic soft matrices based on decision making, Journal of Intelligent & Fuzzy Systems,Vol.28 (2014), pp.2233-2241. [6] Irfan Deli and Said Broumi, Neutrosophic soft matrices and NSM-decision making, Journal of Intelligent & Fuzzy Systems,Vol.28 (2015), pp. 223-236. [7] Loganathan.C, Pushpalatha.V, An Application of interval valued fuzzy matrices in Agriculture field, International Journal of Mathematics and its applications, Vol.6, No.3 (2018), pp.387-397. [8] D. Molodtsov, Soft Set Theory- First Results, An International Journal of Computer & Mathematics with applications, Vol.37 (1997), pp.19-31. [9] Muhammad Naveed Jafar, Muhammad Saqlain, Ahmad Raza Shafiq, Muhammad Khalid, Hamza Akbar, Aamir Naveed, New Technology in Agriculture Using Neutrosophic Soft Matrices with help of Score Function, International Journal of Neutrosophic Science(IJNS), Vol.3, No.2 (2020), pp.78-88. [10] Pabitra Kumar Maji, Neutrosophic Soft Set, Annals of Fuzzy Mathematics andInformatics, Vol.5, No.1, (2013), pp.157-168. [11] Said Broumi, Assia Bakali, Mohamed Talea, Florentine Smarandache, Vakkas Ulucay, Mehmet Sahin, Arindam Dey, Mamouni Dhar, Rui-Pu-Tan, Ayoub Bahnasse, Surapati Pramanik, Neutrosophic Sets:An Overview, New Trends in Neutrosophic Theory and Applications, Vol.2, pp.388-418. [12] Tanushree Mitra Basu and Shyamal Kumar Mondal, Neutrosophic Soft Matrix and its Application in Solving Group Decision Making Problems from Medical Science, Computer Communication & Collaboration, Vol.3 (2015), pp.1-31. [13] Tuhin Bera and Nirmal Kumar Mahapatra, Neutrosophic Soft Matrix and its Application to Decision Making,Neutrosophic sets and systems, Vol.18 (2017), pp.3-15.

Refbacks

  • There are currently no refbacks.