Pingke Li

Works (6)

Updated: July 5th, 2023 15:54

2009 journal article

A note on solution sets of interval-valued fuzzy relational equations

FUZZY OPTIMIZATION AND DECISION MAKING, 8(1), 115–121.

By: P. Li n & S. Fang n 

author keywords: Fuzzy relational equations; Fuzzy relational inequalities; Interval-valued system
TL;DR: This note discusses three types of solutions for a system of interval-valued fuzzy relational equations with max-T composition and illustrates their relations to the solutions of a systems of fuzzy relational inequalities with maximum T composition. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 review

A survey on fuzzy relational equations, part I: Classification and solvability

[Review of ]. Fuzzy Optimization and Decision Making, 8(2), 179–229.

By: P. Li & S. Fang

Source: NC State University Libraries
Added: August 6, 2018

2009 journal article

Latticized Linear Optimization on the Unit Interval

IEEE Transactions on Fuzzy Systems, 17(6), 1353–1365.

By: P. Li n & S. Fang n 

author keywords: Fuzzy optimization; fuzzy relational equations; max-separable optimization (MSO)
TL;DR: It is shown that an optimal solution to an latticized linear optimization problem can be obtained in polynomial time as long as the objective function is a max-separable function with continuous monotone components. (via Semantic Scholar)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018

2009 journal article

Minimizing a linear fractional function subject to a system of sup-T equations with a continuous Archimedean triangular norm

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 22(1), 49–62.

By: P. Li n & S. Fang n 

author keywords: Fractional optimization; fuzzy relational equations; triangular norms
TL;DR: The problem of minimizing alinear fractional function subject to a system of sup-T equations with a continuous Archimedean triangular norm T can be reduced to a 0-1 linear fractional optimization problem in polynomial time, and parametrization techniques can be applied by solving a classical set covering problem in each iteration. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 journal article

Entropy of credibility distributions for fuzzy variables

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 16(1), 123–129.

By: P. Li n & B. Liu*

author keywords: credibility; entropy; fuzzy variable; information; uncertainty
TL;DR: A definition of entropy is formulated from an information theoretical view and its properties are investigated and some comments are given on the construction of alternative definitions of entropy and axiomatic characterization. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 review

On the resolution and optimization of a system of fuzzy relational equations with sup-T composition

[Review of ]. FUZZY OPTIMIZATION AND DECISION MAKING, 7(2), 169–214.

By: P. Li n & S. Fang n 

author keywords: fuzzy relational equations; triangular norms; fuzzy optimization; integer programming
TL;DR: It is shown that the problem of minimizing a linear objective function subject to a system of sup-T equations can be reduced into a 0–1 integer programming problem in polynomial time. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

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