Fuzzy analytic hierarchy process and analytic network process: An integrated fuzzy logarithmic preference programming

► A two-stage fuzzy logarithmic preference programming with multiple objective programming is proposed. ► It improves the weakness of the FPP, which handles comparison matrices individually and generates different weights by using the lower and upper triangular judgment of the matrices. ► It can handle complex problem structure, regardless of the number of comparison matrices, because all of the priorities are generated simultaneously. ► It obtains identical priorities from upper and lower triangular judgments by multiplicative constraints instead of additive constraints. ► It is more efficient and reliable than the FPP in handling AHP or ANP problems.