A New Approach to Solve Intuitionistic Fuzzy Optimization Problem Using Possibility, Necessity, and Credibility Measures. (25th September 2014)

• Record Type: Journal Article
• Authors: Chakraborty, Dipankar; Jana, Dipak Kumar; Roy, Tapan Kumar
• Other Names: Tang Wansheng Academic Editor.
• Is Part Of: International journal of engineering mathematics. Volume 2014(2014)
• Publication Date: 2014-09-25
• Subjects: Engineering mathematics -- Periodicals; Engineering mathematics; Electronic journals; Periodicals; 620.00151
• DOI: 10.1155/2014/593185
• Languages: English
• ISSNs: 2356-7007

Abstract

Abstract : Corresponding to chance constraints, real-life possibility, necessity, and credibility measures on intuitionistic fuzzy set are defined. For the first time the mathematical and graphical representations of different types of measures in trapezoidal intuitionistic fuzzy environment are defined in this paper. We have developed intuitionistic fuzzy chance constraints model (CCM) based on possibility and necessity measures. We have also proposed a new method for solving an intuitionistic fuzzy CCM using chance operators. To validate the proposed method, we have discussed three different approaches to solve the intuitionistic fuzzy linear programming (IFLPP) using possibility, necessity and credibility measures. Numerical and graphical representations of optimal solutions of the given example at different possibility and necessity, levels have been discussed.