Fuzzy Relational Mathematical Programming
Linear, Nonlinear and Geometric Programming Models
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65 Result(s)
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Article
Design concept evaluation using soft sets based on acceptable and satisfactory levels: an integrated TOPSIS and Shannon entropy
Among several phases of new product development, concept selection is the most crucial activity and it gives perfection to further progress of a product. Customer’s ideas and linguistic requirements are often ...
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Book
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Chapter and Conference Paper
Fuzzy Geometric Programming: Past, Present, and Future
Cao first proposed the topic of fuzzy geometry programming since 1987, with its greatly developed in this field for 32 years. According to his previous researches, in the paper, he introduces its development p...
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Book and Conference Proceedings
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Chapter
Research Progress of Fuzzy Relational Geometric Programming
The author in this section, from three aspects, develops a question for each, constituting three conjectures. These three problems should not be underestimated because of the fact a lot of research has been do...
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Chapter and Conference Paper
The Application of Fuzzy Relational Equations and Genetic Algorithm in Fault Diagnosis Problem
In this paper, we reported a mathematical model using fuzzy relation equations to describe the fault diagnosis based on cause and effect analysis. Generally, with the solution set of the fuzzy relation equatio...
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Chapter
(+, \(\wedge \)) Fuzzy Relational Inequality and Its Network Optimization
Fuzzy relational equations with \((\vee ,\wedge )\)(∨,∧) composition were introduced [1, 1] and investigated by lots of fuzzy mathematics researchers. As an extension, fuzzy relational equations or inequalities w...
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Chapter
Basic Theory of Fuzzy Set
This chapter represents theory of fuzzy sets, including fuzzy sets and membership functions, convex fuzzy sets and decomposition theorem, fuzzy lattice, t-norm, expansion principle and five-type fuzzy numbers, wi...
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Chapter
Fuzzy Relation
Fuzzy relation is the basis of fuzzy relational programming. This chapter introduces its basic knowledge, including concept, operations, composition, properties and several commonly-used membership functions. ...
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Chapter
Fuzzy Relational Linear Programming
Since Sanchez [1] proposed the resolution to fuzzy relational equations (FREs), many researchers have studied FREs and fuzzy relational inequalities (FRIs) [2–7]. FRE theory has been applied in many different fie...
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Chapter
Relational Geometric Programming with Fuzzy Coefficient
Geometric programming (GP) founded in 1961 [1, 2] is an important optimization type. GP has been applied in more than a dozen fields, including communication system, civil engineering, mechanical engineering, str...
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Chapter
Fuzzy Relational Equations/Inequalities
Fuzzy relational equations (FRE) were firstly proposed by Sanchez [1]. Fuzzy relational equations/inequalities (FRE/FRI) have played an important role in fuzzy set theory and fuzzy logic systems, and many researc...
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Chapter
Fuzzy Relation Geometric Programming
The fuzzy relation geometric programming, determined by B.Y Cao and his PhD student J.H Yang’s dissertation topic (doctoral thesis), was published in May 2005 on IEEE on Fuzzy Systems International Conference [1]...
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Chapter
Fuzzy Relational of Non-linear Optimization
This chapter explores some of the special fuzzy relational non-linear optimization problems, including: quadratic programming with \((\vee ,\cdot )\)(∨,·) fuzzy boundary inequality constraints, and special nonlin...
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Book
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Book and Conference Proceedings
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Chapter
Application for the Flexible Linear Programming
One of the most interesting models of the linear programming in uncertainty environment is the flexible linear programming problem. It is shown that by using a suitable membership function for their constraint...
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Chapter and Conference Paper
Discussion on Spread of Fuzzy Mathematics from Publication of Fuzzy Sets Theory Preliminary
The first textbook in the world for high school fuzzy mathematics on Fuzzy Sets Theory Preliminary was published and issued in February 2018. Based on the necessity, feasibility, and practicality of high schoo...
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Chapter
Fuzzy Number Linear Programming
The aim of this chapter is to study linear programming problem with fuzzy coefficients as one of the convenient model of fuzzy linear programs. In this way, we first introduce a general form of Fuzzy Number Li...
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Chapter
Fuzzy Linear Programming
For the linear programming problems in the crisp scenario, the aim is to maximize or minimize a linear objective function under linear constraints. But in many practical situations, such as those concerning ma...
