The fuzzy approach has undergone a profound structural transformation in the past few decades. Numerous studies have been undertaken to explain fuzzy approach for linear and nonlinear programs. While, the findings in earlier studies have been conflicting, recent studies of competitive situations indicate that fractional programming problem has a positive impact on comparative scenario. We pro...

The main objective of the present study was to prioritize the allocation of water resources of Chahnimeh reservoirs from economic, social, and environmental perspectives in 2015-2016 season using fuzzy analytic hierarchy process (FAHP) and fuzzy technique for order preference by similarity of an ideal solution (FTOPSIS) as the branches of fuzzy multiple-criteria decision-making (MCDM) models. D...

The traditional frameworks for fuzzy linear optimization problems are inspired by the max–min model proposed by Zimmermann using the Bellman–Zadeh extension principle to aggregate all the fuzzy sets representing flexible (fuzzy) constraints and objective functions together. In this paper, we propose an alternative approach to model fuzzy multi-objective linear programming problems (FMOLPPs) fro...

In recent years answer set programming has been extended to deal with multi-valued predicates. The resulting formalisms allows for the modeling of continuous problems as elegantly as ASP allows for the modeling of discrete problems, by combining the stable model semantics underlying ASP with fuzzy logics. However, contrary to the case of classical ASP where many efficient solvers have been cons...

Model predictive control (MPC) is a well-known control technique, which has been applied to complex and nonlinear processes. In order to incorporate fuzzy goals and constraints in model predictive control, MPC have recently been integrated with fuzzy decision making. Conventionally, the fuzzy optimization problem in such a setting is defined as the simultaneous satisfaction of the constraints a...

Fringe projection profilometry (FPP) has evolved dramatically, with many highly demanded features for three-dimensional (3D) imaging, such as high accuracy, easy implementation, and capability of measuring multiple objects with complex shapes. A vital component for an FPP-based 3D imaging system is the calibration process. The existing calibration methods lack the ability to be flexibly compati...

This paper proposes a least squares method and a goal programming method to get the priority of the intuitionistic fuzzy preference relation (IFPR). The relation between the IFPR and the interval fuzzy number preference relation (IFNPR) is established by splitting the IFPR into the membership degree interval judgment matrix and the non-membership degree interval judgment matrix. Considering the...

In this paper, we consider a kind of bilevel linear programming problem where the coefficients of both objective functions are fuzzy random variables. The purpose of this paper is to develop a computational method for obtaining optimistic Stackelberg solutions to such a problem. Based on a level sets of fuzzy random variables, we first transform the fuzzy random bilevel programming problem into...

10 This article proposes a framework to handle multiattribute group decision making 11 problems with incomplete pairwise comparison preference over decision alternatives 12 where qualitative and quantitative attribute values are furnished as linguistic variables 13 and crisp numbers, respectively. Attribute assessments are then converted to interval14 valued intuitionistic fuzzy numbers (IVIFNs...