Multiset Path Orderings and Their Application to Termination of Term Rewriting Systems

In this expository paper, a comprehensive study of multiset orderings, nested multiset orderings and multiset path orderings is presented. In particular, it is illustrated how multiset path orderings admit the use of relatively simple and intuitive termination functions that lead to termination of  a class of term rewriting systems

Utilization of fuzzy critical path method and fuzzy program evaluation and review technique for building a hydroelectric power station

In this paper, fuzzy critical path method and fuzzy program evaluation and review technique are used to calculate the earliest project completion time for constructing a hydroelectric power plant project. Fuzzy trapezoidal numbers are used to estimate the activity time and determine the range of pessimistic to optimistic variation of time. Furthermore, the minimum and maximum times of project completion duration were calculated by using arithmetic operations and ranking of fuzzy trapezoidal numbers. These hybrid methods are able to deal with the limitations associated with classical critical path method and program evaluation and review technique. The fuzzy techniques were applied to network activities in a manner similar to the classical methods for optimizing the project completion duration, thereby minimizing the cost of the project. Analysis was carried out to determine the critical path through the use of fuzzy critical path method. The fuzzy program evaluation and review technique was also used to determine the probability of completing the project at a scheduled time. These two methods were then compared and the most probable scenarios were analyzed. Finally, it was concluded that fuzzy program evaluation and review technique is better than fuzzy critical path method and more efficient in terms of early project completion time

Forecasting rice production in Jigawa State, Nigeria using fuzzy inference system

In this work, we used fuzzy inference system to forecast rice production covering the period 2021-2030 in Jigawa state, Nigeria. This is done by designing a fuzzy inference system using MATLAB. The system consists of two input functions and a single output function. Each function has its membership functions from which 49 inference rules of the system were formed. Three variables were considered in the course of this research. The variables are rainfall, land and rice production. Furthermore, linguistic variables were defined on each input. A rule based system was then formed which is defuzzified and a crisp value is obtained as the forecasted value. The result of this research shows that in 2022, 177950ha is required with 873mm of rainfall to produce 1070000TN of rice. Similarly, prediction is made of the required area, rainfall and rice yield up to 2030 in Jigawa state