Fuzzy Geometric Programming: Past, Present, and Future

Cao, Bing-Yuan; Wang, Peihua

doi:10.1007/978-981-15-2459-2_11

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Nasseri and Alizadeh [23] stated the problem of a two-bar truss in which some parameters are fuzzy and they used a fuzzy geometric programming problem to derive a fuzzy objective value. Cao and Wang [3] discussed recent research and development on fuzzy geometric programming problems and also focused on captivating new researchers to the FGPP field.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear fuzzy fractional signomial programming problem: A fuzzy geometric programming solution approach

2023

View full text Add to dashboard Cite

Fuzzy fractional signomial programming problem is a relatively new optimization problem. In real world problems, some variables may vacillate because of various reasons. To tackle these vacillating variables, vagueness is considered in form of fuzzy sets. In this paper, a nonlinear fuzzy fractional signomial programming problem is considered with all its coefficients in objective functions as well as constraints are fuzzy numbers. Two solution approaches are developed based on signomial geometric programming comprising nearest interval approximation with parametric interval valued functions and fuzzy α-cut with min-max approach. To demonstrate the proposed methods, two illustrative numerical examples are solved and the results are comparatively discussed showing its feasibility and effectiveness.

show abstract

Section: Introductionmentioning

confidence: 99%