A New Concept to Detect Isomorphism in Kinematic Chains using Fuzzy Similarity Index

ShaneHaiderRizvi, Syed; Hasan, Ali; Khan, Rasheed Ahmad

doi:10.5120/15039-3385

Cited by 6 publications

(2 citation statements)

References 19 publications

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“…When both the KCS of two kinematic chains are compared it was found that they are non-isomorphic in nature. The results obtained were coincident with Syed et al [16].…”

Section: Procedures To Identify Isomorphism Of Two Kinematic Chainssupporting

confidence: 80%

Comparative Study of Isomorphism Detection of Kinematic Chains

Joshi¹

2017

IJRASET

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one of the most essential and challenging step in the structural synthesis of any kinematic chain is to detect the possible structural isomorphism to avoid the repetitive work. Over past few decades many researchers reported different techniques to identify the isomorphism of different kinematic chains. In this study, an attempt has been made to compare few of these methods by considering different kinematic chains. It was observed that results obtained from these methods do not concur for all the kinematic chain inversions.

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“…When both the KCS of two kinematic chains are compared it was found that they are non-isomorphic in nature. The results obtained were coincident with Syed et al [16].…”

Section: Procedures To Identify Isomorphism Of Two Kinematic Chainssupporting

confidence: 80%

Comparative Study of Isomorphism Detection of Kinematic Chains

Joshi¹

2017

IJRASET

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“…Dargar, Hasan and Khan (2013) present some new codes for isomorphic detection and distinct inversions. Rizvi, Hasan and Khan (2014a) proposed a method based on fuzzy similarity index and an another method was also devised by Rizvi, Hasan and Khan (2014b) based on the instantaneous centres of the kinematic chains, Chiu and Yan (2015) presented an algorithm for automatic sketching of chains. Ding, Huang and Kecskeméthy (2015) present a method of enumeration of valid non-fractionated kinematic chains.…”

Section: Introductionmentioning

confidence: 99%

A new method for distinct inversions and isomorphism detection in kinematic chains

Rizvi

Hasan

Khan

2016

IJMRS

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In this paper, a new method for obtaining the number of distinct mechanisms from a kinematic chain based on a unique matrix representation of the links of a kinematic chain termed as link identity matrix (LI) is presented and a new invariant link signature (LS) is introduced, which is the sum of absolute value of the characteristics polynomial coefficient of the LI matrix for the representation of a distinct link. The similar values of the LS represent equivalent links further the LS values of a chain are used to determine the isomorphism among the kinematic chains and also assigns a signature to every chain known as chain signature (CS) obtained by summing all LS values of that chain and it is a unique identity assigned to every non-isomorphic chain.

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Optinalysis: Isometric Isomorphism and Automorphism Through A Looking-Glass

Abdullahi¹

2020

Preprint

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Measures of graph symmetry, similarity, and identity have been extensively studied in graph automorphism and isomorphism detection problems. Nevertheless, graph isomorphism detection remains an open (unsolved) problem for many decades. In this paper, a new and efficient methodological paradigm, called optinalysis, is proposed for symmetry detections, similarity, and identity measures between isometric isomorphs or automorphs. Optinalysis is explained and expressed in clearly stated definitions and prove theorems, which conform to the definitions and theorems of isometry, isomorphism, and automorphism. Analogous to the polynomiality formalization for an efficient algorithm for graph isomorphism detection, optinalysis is however deterministic on polynomial and non-polynomial graph models.

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A New Concept to Detect Isomorphism in Kinematic Chains using Fuzzy Similarity Index

Cited by 6 publications

References 19 publications

Comparative Study of Isomorphism Detection of Kinematic Chains

Comparative Study of Isomorphism Detection of Kinematic Chains

A new method for distinct inversions and isomorphism detection in kinematic chains

Optinalysis: Isometric Isomorphism and Automorphism Through A Looking-Glass

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