Optimal decision making in fuzzy stochastic hybrid uncertainty environments and their application in transportation problems

Decision making plays an important role in economic, management, business, marketing, psychology, philosophy, mathematics, statistics, and many other fields. In each field, decision making consists of identifying the values, uncertainties, and other issues that define the decision. Randomness and fuzziness or vagueness are two major sources of uncertainty in the real world. Practical applications in areas of industrial engineering, management, and economics, are such that decision-makers are being confronted with information that is simultaneously probabilistically uncertain and fuzzily imprecise, and a decision making has to be performed under such a twofold uncertain environment of co-occurrence of randomness and fuzziness. This paper presents an application to the transportation problems in fuzzy stochastic hybrid uncertainty environments. In this paper, we focus on our attention on unbalanced transportation problems in the fuzzy stochastic environment.