We have presented trapezoidal intuitionistic fuzzy number. Arithmetic operations of trapezoidal intuitionistic fuzzy number is presented based on (α, β)-cuts. We have presented intuitionistic fuzzy fault tree analysis using trapezoidal intuitionistic fuzzy number. In application of intuitionistic fuzzy fault tree analysis, we have computed failure of fire protection system taking failure of eac...

We examined the thin-film flow problem of a third-grade fluid on an inclined plane under fuzzy environment. The highly nonlinear governing differential equations (DEs) with boundary conditions are fuzzified using triangular numbers (TFNs) developed by α -cut id="M2"> <mo...

When it is question of prediction, no deterministic model can be totally efficient, especially when the output to be estimated is dependent imprecisely on many fluctuant variables measuring human behavior (cognitions, choices, consumption, etc.). Regressions based on fuzzy logic which combine statistics and expert’s attitudes can be used to improve the estimation of such outputs. Those regressi...

In this study the intuitionistic fuzzy version of critical path method has been proposed to solve networking problems with uncertain activity durations. Intuitionistic set [1] is an extension theory [2] unlike set, it focuses on degree belonging, nonbelonging or non-membership function and hesitancy which helps decision maker adopt best among worst cases. Trapezoidal triangular numbers are util...

This paper proposes a new approach based on Bonferroni mean operator and possibility degree to solve fuzzy multi-attribute decision making (FMADM) problems in which the attribute value takes the form of interval type-2 fuzzy numbers. We introduce the concepts of interval possibility mean value and present a new method for calculating the possibility degree of two interval trapezoidal type-2 fuz...

Methods for aggregating intuitionistic trapezoidal fuzzy information are investigated. Some operational laws of intuitionistic trapezoidal fuzzy numbers are introduced. Based on these operational laws, some aggregation operators, including intuitionistic trapezoidal fuzzy ordered weighted averaging (ITFOWA) operator and intuitionistic trapezoidal fuzzy hybrid aggregation (ITFHA) operator, are p...

With respect to multiple attribute decision making (MADM) problems in which the attribute value takes the form of intuitionistic trapezoidal fuzzy number, a new decision making analysis method is developed. Firstly, some operational laws and expected values of intuitionistic trapezoidal fuzzy numbers, and distance between two intuitionistic trapezoidal fuzzy numbers, are introduced, and the com...

in some multi-attribute decision making (madm) problems, various relationships among the decision attributes should be considered. this paper investigates the prioritization relationship of attributes in madm with trapezoidal intuitionistic fuzzy numbers (trifns). trifns are a special intuitionistic fuzzy set on a real number set and have the better capability to model ill-known quantities. fir...

This paper deals with knapsack problem in fuzzy nature, where both the objective function and constraints are considered to be fuzzy. Three different models for proposed including, expected value model, chance-constrained dependent-chance model. Credibility ranking method is applied convert into a crisp equivalent linear one considering triangular trapezoidal numbers. The solution of obtained r...

In this paper, we want to represent a method for ranking of two exponential trapezoidal fuzzy numbers. In this study a new Cardinality between exponential trapezoidal fuzzy numbers is proposed. Cardinality in this method is relatively simple and easier in computation and ranks various types of exponential fuzzy numbers. For the validation the results of the proposed approach are compared with d...