Modified New Operations for Symmetric Trapezoidal Intuitionistic Fuzzy Numbers: An Application of Diet Problem
نویسندگان
چکیده
Standard intuitionistic fuzzy arithmetic operations have certain problems in division and subtraction operations. Ezzati et al. (2014) defined a new operation on symmetric trapezoidal intuitionistic fuzzy numbers in which the properties ≈ 1 and ≈ 0 are satisfied. In this paper, the new operations according to Ezzati et al. (2014) are extended to symmetric trapezoidal intuitionistic fuzzy numbers and an intuitionistic fuzzy version of simplex algorithm for solving multi-objective linear programming problem (MOLPP) whose parameters are represented by symmetric trapezoidal intuitionistic fuzzy numbers is proposed. An illustrative numerical example is presented on diet problem to validate the effectiveness of the modified operations and the intuitionistic fuzzy outputs obtained by MATLAB software are also provided.
منابع مشابه
Arithmetic Operations on Symmetric Trapezoidal Intuitionistic Fuzzy Numbers
In this paper, Symmetric Trapezoidal Intuitionistic Fuzzy Numbers (STIFNs) have been introduced and their desirable properties are also studied. A new type of intuitionistic fuzzy arithmetic operations for STIFN have been proposed based on ( , ) -cuts. A numerical example is considered to elaborate the proposed arithmetic operations. These operations find applications in solving linear prog...
متن کاملPower harmonic aggregation operator with trapezoidal intuitionistic fuzzy numbers for solving MAGDM problems
Trapezoidal intuitionistic fuzzy numbers (TrIFNs) express abundant and flexible information in a suitable manner and are very useful to depict the decision information in the procedure of decision making. In this paper, some new aggregation operators, such as, trapezoidal intuitionistic fuzzy weighted power harmonic mean (TrIFWPHM) operator, trapezoidal intuitionistic fuzzy ordered weighted po...
متن کاملTrapezoidal intuitionistic fuzzy prioritized aggregation operators and application to multi-attribute decision making
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...
متن کاملAn extended intuitionistic fuzzy modified group complex proportional assessment approach
Complex proportional assessment (COPRAS) methodology is one of the well-known multiple criteria group decision-making (MCGDM) frameworks that can focus on proportional and direct dependences of the significance and utility degree of candidates under the presence of mutually conflicting criteria in real-worldcases. This studyelaboratesa newintuitionistic fuzzy modified group complex proportional...
متن کاملRefueling problem of alternative fuel vehicles under intuitionistic fuzzy refueling waiting times: a fuzzy approach
Using alternative fuel vehicles is one of the ways to reduce the consumption of fossil fuels which have many negative environmental effects. An alternative fuel vehicle needs special planning for its refueling operations because of some reasons, e.g. limited number of refueling stations, uncertain refueling queue times in the stations, variable alternative fuel prices among the stations, etc. I...
متن کامل