A comparative study on interval arithmetic operations with intuitionistic fuzzy numbers for solving an intuitionistic fuzzy multi-objective linear programming problem

• Autorzy: Vidhya R. , Irene Hepzibah R.

Identyfikatory

DOI

10.1515/amcs-2017-0040

• Języki publikacji: EN

Abstrakty

EN

In a real world situation, whenever ambiguity exists in the modeling of intuitionistic fuzzy numbers (IFNs), interval valued intuitionistic fuzzy numbers (IVIFNs) are often used in order to represent a range of IFNs unstable from the most pessimistic evaluation to the most optimistic one. IVIFNs are a construction which helps us to avoid such a prohibitive complexity. This paper is focused on two types of arithmetic operations on interval valued intuitionistic fuzzy numbers (IVIFNs) to solve the interval valued intuitionistic fuzzy multi-objective linear programming problem with pentagonal intuitionistic fuzzy numbers (PIFNs) by assuming different α and β cut values in a comparative manner. The objective functions involved in the problem are ranked by the ratio ranking method and the problem is solved by the preemptive optimization method. An illustrative example with MATLAB outputs is presented in order to clarify the potential approach.

Słowa kluczowe

EN

fuzzy number; fuzzy arithmetic; linear programming problem

PL

liczba rozmyta; arytmetyka rozmyta; programowanie liniowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2017
• Tom: Vol. 27, no. 3
• Strony: 563--573
• Opis fizyczny: Bibliogr. 21 poz., tab., wykr.

Twórcy

autor

Vidhya R.

• Research Scholar, Bharathiar University, Coimbatore 641046, Tamil Nadu, India; Department of Mathematics, AS-SALAM College of Engineering and Technology, Aduthurai, Tamil Nadu, India

autor

Irene Hepzibah R.

• Research and Development Centre, Bharathiar University, Coimbatore 641046, Tamil Nadu, India; Department of Mathematics, AVC College of Engineering, Mayiladuthurai, Tamil Nadu, India

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).