until now single values of irr are traditionally used to estimate the time value of cash flows. since uncertainty exists in estimating cost data, the resulting decision may not be reliable. the most commonly cited drawbacks to using the internal rate of return in evaluatton of deterministic cash flow streams is the possibility of multiple conflicting internal rates of return. in this paper we p...

portfolio theory assumes that investors accept risk. this means thatin the equal rate of return on the two assets, the assets were chosenthat have a lower risk level. modern portfolio theory is accepted byinvestors who believe that they are not cope with the market. sothey keep many different types of securities in order to access theoptimum efficiency rate that is close to the rate of return o...

Dimensional analysis under linguistic Pythagorean fuzzy set (DA-LPFS) is a technique to handle qualitative (intangible) as well the interactions between criteria, by combining dimensional (DA) and (PFS) with variables. In this paper, novel DA method proposed for LPFSs based in PFS extension, order consider mutual relationship among criteria (fuzzy) quantitative (crisp) information usually invol...

This paper aims to apply the concept of rough sets Pythagorean fuzzy in UP-algebras. Then we introduce fifteen types UP-algebras and study their generalization. In addition, will also discuss $t$-level subsets relationships between

In this dissertation, we study the picture fuzzy graph (PFG) in decision-making problem based on relation and some types of graphs such as complete graphs, strong complement are described also Pythagorean decision making environment. Further, present an application Fuzzy Graphs Picture