New type of extension of the level operators Pα,β and Qα,β on intuitionistic fuzzy sets

Atanassov K.T defined lot of operators in intuitionistic fuzzy sets and level operators are important among them. The roll of level operators are important in many applications. Extension in a mathematical concept is an improvement of that mathematical concept. In this paper, new type of seven extensions of the level operators P-alpha,P-beta and Q(alpha,beta) are proposed. Relations between the other defined operators by Atanassov K. T with our proposed extension operators are discussed. Three stage application problem is discussed to validate the extension of the operator Qa; b. Some important theorems related to the proposed operators are proved. (C) 2020 Elsevier Ltd. All rights reserved.