Neutrosophical Plant Hybridization in Decision-Making Problems

Florentin Smarandache (Smarandache, A unifying field of logics. Neutrosophy: neutrosophic probability, set and logic. American Research Press: Rehoboth; 1998) developed the neutrosophic set theory to study inconsistency, incomplete, and uncertainty information by using truth-membership, indeterminacy-membership, and falsity-membership functions. One of the main objectives of this chapter is to develop a new methodological approach of neutrosophic sets in multi-criteria decision-making problems. This method considers neutrosophic sets with their unions in the direct direction, and the complements of given neutrosophic sets with their intersections are also considered in the reverse direction. Using these collections, single-valued neutrosophic score functions are computed in both directions. After this process, all the alternatives are ranked in the ascending order arrangement to find the best alternatives not only in each region but also in the entire region. Another main objective is to solve a numerical example of plant hybridization by using single-valued neutrosophic score functions to demonstrate the effectiveness of the proposed method. This numerical example is the first example of plant hybridization in the neutrosophic environment, which is to find the best hybrid plants with an increased quantity of yield. The uniqueness of this method is the dependence of single-valued neutrosophic score function and independence of any other neutrosophic measures or distance functions, etc.